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Finding the Fourth Proportional to 9,099.14, 12,560.06 and 5,562.68

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Solution

The fourth proportional to 9,099.14, 12,560.06 and 5,562.68 is: 7,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.14 : 12,560.06 = 5,562.68 : x
  2. Step 2: Convert to fraction form
    9,099.14/12,560.06 = 5,562.68/x
  3. Step 3: Cross multiply
    9,099.14x = 12,560.06 × 5,562.68
  4. Step 4: Simplify right side
    9,099.14x = 69,867,545.67
  5. Step 5: Solve for x
    x = 69,867,545.67/9,099.14
  6. Step 6: Final answer
    x = 7,678.48

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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.