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Finding the Fourth Proportional to 9,358.92, 14,049.24 and 5,466.12

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Solution

The fourth proportional to 9,358.92, 14,049.24 and 5,466.12 is: 8,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.92 : 14,049.24 = 5,466.12 : x
  2. Step 2: Convert to fraction form
    9,358.92/14,049.24 = 5,466.12/x
  3. Step 3: Cross multiply
    9,358.92x = 14,049.24 × 5,466.12
  4. Step 4: Simplify right side
    9,358.92x = 76,794,831.75
  5. Step 5: Solve for x
    x = 76,794,831.75/9,358.92
  6. Step 6: Final answer
    x = 8,205.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.