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Finding the Fourth Proportional to 6,715.35, 9,264.53 and 3,882.20

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Solution

The fourth proportional to 6,715.35, 9,264.53 and 3,882.20 is: 5,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.35 : 9,264.53 = 3,882.20 : x
  2. Step 2: Convert to fraction form
    6,715.35/9,264.53 = 3,882.20/x
  3. Step 3: Cross multiply
    6,715.35x = 9,264.53 × 3,882.20
  4. Step 4: Simplify right side
    6,715.35x = 35,966,779.97
  5. Step 5: Solve for x
    x = 35,966,779.97/6,715.35
  6. Step 6: Final answer
    x = 5,355.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.