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Finding the Fourth Proportional to 9,938.17, 14,907.11 and 2,542.57

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Solution

The fourth proportional to 9,938.17, 14,907.11 and 2,542.57 is: 3,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.17 : 14,907.11 = 2,542.57 : x
  2. Step 2: Convert to fraction form
    9,938.17/14,907.11 = 2,542.57/x
  3. Step 3: Cross multiply
    9,938.17x = 14,907.11 × 2,542.57
  4. Step 4: Simplify right side
    9,938.17x = 37,902,320.69
  5. Step 5: Solve for x
    x = 37,902,320.69/9,938.17
  6. Step 6: Final answer
    x = 3,813.81

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