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Finding the Fourth Proportional to 9,937.75, 14,906.56 and 2,542.19

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Solution

The fourth proportional to 9,937.75, 14,906.56 and 2,542.19 is: 3,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.75 : 14,906.56 = 2,542.19 : x
  2. Step 2: Convert to fraction form
    9,937.75/14,906.56 = 2,542.19/x
  3. Step 3: Cross multiply
    9,937.75x = 14,906.56 × 2,542.19
  4. Step 4: Simplify right side
    9,937.75x = 37,895,307.77
  5. Step 5: Solve for x
    x = 37,895,307.77/9,937.75
  6. Step 6: Final answer
    x = 3,813.27

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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.