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Finding the Fourth Proportional to 25,934.40, 38,897.31 and 9,291.96

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Solution

The fourth proportional to 25,934.40, 38,897.31 and 9,291.96 is: 13,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,934.40 : 38,897.31 = 9,291.96 : x
  2. Step 2: Convert to fraction form
    25,934.40/38,897.31 = 9,291.96/x
  3. Step 3: Cross multiply
    25,934.40x = 38,897.31 × 9,291.96
  4. Step 4: Simplify right side
    25,934.40x = 361,432,248.63
  5. Step 5: Solve for x
    x = 361,432,248.63/25,934.40
  6. Step 6: Final answer
    x = 13,936.40

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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.