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Finding the Fourth Proportional to 9,938.16, 14,907.16 and 2,542.60

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Solution

The fourth proportional to 9,938.16, 14,907.16 and 2,542.60 is: 3,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.16 : 14,907.16 = 2,542.60 : x
  2. Step 2: Convert to fraction form
    9,938.16/14,907.16 = 2,542.60/x
  3. Step 3: Cross multiply
    9,938.16x = 14,907.16 × 2,542.60
  4. Step 4: Simplify right side
    9,938.16x = 37,902,945.02
  5. Step 5: Solve for x
    x = 37,902,945.02/9,938.16
  6. Step 6: Final answer
    x = 3,813.88

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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.