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Finding the Fourth Proportional to 6,387.33, 9,572.68 and 3,264.71

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Solution

The fourth proportional to 6,387.33, 9,572.68 and 3,264.71 is: 4,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.33 : 9,572.68 = 3,264.71 : x
  2. Step 2: Convert to fraction form
    6,387.33/9,572.68 = 3,264.71/x
  3. Step 3: Cross multiply
    6,387.33x = 9,572.68 × 3,264.71
  4. Step 4: Simplify right side
    6,387.33x = 31,252,024.12
  5. Step 5: Solve for x
    x = 31,252,024.12/6,387.33
  6. Step 6: Final answer
    x = 4,892.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.