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Finding the Fourth Proportional to 6,332.28, 9,498.42 and 4,016.76

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Solution

The fourth proportional to 6,332.28, 9,498.42 and 4,016.76 is: 6,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.28 : 9,498.42 = 4,016.76 : x
  2. Step 2: Convert to fraction form
    6,332.28/9,498.42 = 4,016.76/x
  3. Step 3: Cross multiply
    6,332.28x = 9,498.42 × 4,016.76
  4. Step 4: Simplify right side
    6,332.28x = 38,152,873.52
  5. Step 5: Solve for x
    x = 38,152,873.52/6,332.28
  6. Step 6: Final answer
    x = 6,025.14

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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.