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Finding the Fourth Proportional to 9,882.32, 14,833.92 and 9,659.22

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Solution

The fourth proportional to 9,882.32, 14,833.92 and 9,659.22 is: 14,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.32 : 14,833.92 = 9,659.22 : x
  2. Step 2: Convert to fraction form
    9,882.32/14,833.92 = 9,659.22/x
  3. Step 3: Cross multiply
    9,882.32x = 14,833.92 × 9,659.22
  4. Step 4: Simplify right side
    9,882.32x = 143,284,096.74
  5. Step 5: Solve for x
    x = 143,284,096.74/9,882.32
  6. Step 6: Final answer
    x = 14,499.04

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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.