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Finding the Fourth Proportional to 6,287.44, 9,407.48 and 3,915.92

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Solution

The fourth proportional to 6,287.44, 9,407.48 and 3,915.92 is: 5,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.44 : 9,407.48 = 3,915.92 : x
  2. Step 2: Convert to fraction form
    6,287.44/9,407.48 = 3,915.92/x
  3. Step 3: Cross multiply
    6,287.44x = 9,407.48 × 3,915.92
  4. Step 4: Simplify right side
    6,287.44x = 36,838,939.08
  5. Step 5: Solve for x
    x = 36,838,939.08/6,287.44
  6. Step 6: Final answer
    x = 5,859.13

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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.