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Finding the Fourth Proportional to 9,907.03, 14,869.79 and 5,230.50

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Solution

The fourth proportional to 9,907.03, 14,869.79 and 5,230.50 is: 7,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.03 : 14,869.79 = 5,230.50 : x
  2. Step 2: Convert to fraction form
    9,907.03/14,869.79 = 5,230.50/x
  3. Step 3: Cross multiply
    9,907.03x = 14,869.79 × 5,230.50
  4. Step 4: Simplify right side
    9,907.03x = 77,776,436.60
  5. Step 5: Solve for x
    x = 77,776,436.60/9,907.03
  6. Step 6: Final answer
    x = 7,850.63

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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.