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Finding the Fourth Proportional to 9,137,938.60, 13,706,907.90 and 7,703,047.90

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Solution

The fourth proportional to 9,137,938.60, 13,706,907.90 and 7,703,047.90 is: 11,554,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137,938.60 : 13,706,907.90 = 7,703,047.90 : x
  2. Step 2: Convert to fraction form
    9,137,938.60/13,706,907.90 = 7,703,047.90/x
  3. Step 3: Cross multiply
    9,137,938.60x = 13,706,907.90 × 7,703,047.90
  4. Step 4: Simplify right side
    9,137,938.60x = 105,584,968,114,588.42
  5. Step 5: Solve for x
    x = 105,584,968,114,588.42/9,137,938.60
  6. Step 6: Final answer
    x = 11,554,571.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.