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Finding the Fourth Proportional to 9,039.92, 12,468.66 and 8,296.28

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Solution

The fourth proportional to 9,039.92, 12,468.66 and 8,296.28 is: 11,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.92 : 12,468.66 = 8,296.28 : x
  2. Step 2: Convert to fraction form
    9,039.92/12,468.66 = 8,296.28/x
  3. Step 3: Cross multiply
    9,039.92x = 12,468.66 × 8,296.28
  4. Step 4: Simplify right side
    9,039.92x = 103,443,494.58
  5. Step 5: Solve for x
    x = 103,443,494.58/9,039.92
  6. Step 6: Final answer
    x = 11,442.97

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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.