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Finding the Fourth Proportional to 9,665.28, 14,499.36 and 4,471.68

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Solution

The fourth proportional to 9,665.28, 14,499.36 and 4,471.68 is: 6,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.28 : 14,499.36 = 4,471.68 : x
  2. Step 2: Convert to fraction form
    9,665.28/14,499.36 = 4,471.68/x
  3. Step 3: Cross multiply
    9,665.28x = 14,499.36 × 4,471.68
  4. Step 4: Simplify right side
    9,665.28x = 64,836,498.12
  5. Step 5: Solve for x
    x = 64,836,498.12/9,665.28
  6. Step 6: Final answer
    x = 6,708.19

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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.