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Finding the Fourth Proportional to 25,934.47, 38,883.92 and 9,294.14

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Solution

The fourth proportional to 25,934.47, 38,883.92 and 9,294.14 is: 13,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,934.47 : 38,883.92 = 9,294.14 : x
  2. Step 2: Convert to fraction form
    25,934.47/38,883.92 = 9,294.14/x
  3. Step 3: Cross multiply
    25,934.47x = 38,883.92 × 9,294.14
  4. Step 4: Simplify right side
    25,934.47x = 361,392,646.97
  5. Step 5: Solve for x
    x = 361,392,646.97/25,934.47
  6. Step 6: Final answer
    x = 13,934.84

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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.