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Finding the Fourth Proportional to 9,937.84, 14,906.70 and 2,542.29

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Solution

The fourth proportional to 9,937.84, 14,906.70 and 2,542.29 is: 3,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.84 : 14,906.70 = 2,542.29 : x
  2. Step 2: Convert to fraction form
    9,937.84/14,906.70 = 2,542.29/x
  3. Step 3: Cross multiply
    9,937.84x = 14,906.70 × 2,542.29
  4. Step 4: Simplify right side
    9,937.84x = 37,897,154.34
  5. Step 5: Solve for x
    x = 37,897,154.34/9,937.84
  6. Step 6: Final answer
    x = 3,813.42

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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.