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Finding the Fourth Proportional to 7,022.97, 9,688.14 and 6,522.66

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Solution

The fourth proportional to 7,022.97, 9,688.14 and 6,522.66 is: 8,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.97 : 9,688.14 = 6,522.66 : x
  2. Step 2: Convert to fraction form
    7,022.97/9,688.14 = 6,522.66/x
  3. Step 3: Cross multiply
    7,022.97x = 9,688.14 × 6,522.66
  4. Step 4: Simplify right side
    7,022.97x = 63,192,443.25
  5. Step 5: Solve for x
    x = 63,192,443.25/7,022.97
  6. Step 6: Final answer
    x = 8,997.97

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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.