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Finding the Fourth Proportional to 6,564.97, 9,000.61 and 6,446.71

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Solution

The fourth proportional to 6,564.97, 9,000.61 and 6,446.71 is: 8,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.97 : 9,000.61 = 6,446.71 : x
  2. Step 2: Convert to fraction form
    6,564.97/9,000.61 = 6,446.71/x
  3. Step 3: Cross multiply
    6,564.97x = 9,000.61 × 6,446.71
  4. Step 4: Simplify right side
    6,564.97x = 58,024,322.49
  5. Step 5: Solve for x
    x = 58,024,322.49/6,564.97
  6. Step 6: Final answer
    x = 8,838.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.