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Finding the Fourth Proportional to 9,099.65, 12,553.31 and 6,577.76

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Solution

The fourth proportional to 9,099.65, 12,553.31 and 6,577.76 is: 9,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.65 : 12,553.31 = 6,577.76 : x
  2. Step 2: Convert to fraction form
    9,099.65/12,553.31 = 6,577.76/x
  3. Step 3: Cross multiply
    9,099.65x = 12,553.31 × 6,577.76
  4. Step 4: Simplify right side
    9,099.65x = 82,572,614.06
  5. Step 5: Solve for x
    x = 82,572,614.06/9,099.65
  6. Step 6: Final answer
    x = 9,074.27

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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.