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Finding the Fourth Proportional to 6,642.64, 9,167.28 and 4,400.62

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Solution

The fourth proportional to 6,642.64, 9,167.28 and 4,400.62 is: 6,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.64 : 9,167.28 = 4,400.62 : x
  2. Step 2: Convert to fraction form
    6,642.64/9,167.28 = 4,400.62/x
  3. Step 3: Cross multiply
    6,642.64x = 9,167.28 × 4,400.62
  4. Step 4: Simplify right side
    6,642.64x = 40,341,715.71
  5. Step 5: Solve for x
    x = 40,341,715.71/6,642.64
  6. Step 6: Final answer
    x = 6,073.14

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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.