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Finding the Fourth Proportional to 9,724.32, 14,588.64 and 5,042.88

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Solution

The fourth proportional to 9,724.32, 14,588.64 and 5,042.88 is: 7,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.32 : 14,588.64 = 5,042.88 : x
  2. Step 2: Convert to fraction form
    9,724.32/14,588.64 = 5,042.88/x
  3. Step 3: Cross multiply
    9,724.32x = 14,588.64 × 5,042.88
  4. Step 4: Simplify right side
    9,724.32x = 73,568,760.88
  5. Step 5: Solve for x
    x = 73,568,760.88/9,724.32
  6. Step 6: Final answer
    x = 7,565.44

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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.