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Finding the Fourth Proportional to 25,915.92, 38,874.48 and 9,277.10

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Solution

The fourth proportional to 25,915.92, 38,874.48 and 9,277.10 is: 13,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,915.92 : 38,874.48 = 9,277.10 : x
  2. Step 2: Convert to fraction form
    25,915.92/38,874.48 = 9,277.10/x
  3. Step 3: Cross multiply
    25,915.92x = 38,874.48 × 9,277.10
  4. Step 4: Simplify right side
    25,915.92x = 360,642,244.04
  5. Step 5: Solve for x
    x = 360,642,244.04/25,915.92
  6. Step 6: Final answer
    x = 13,915.86

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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.