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Finding the Fourth Proportional to 6,471.52, 9,704.82 and 2,088.32

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Solution

The fourth proportional to 6,471.52, 9,704.82 and 2,088.32 is: 3,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.52 : 9,704.82 = 2,088.32 : x
  2. Step 2: Convert to fraction form
    6,471.52/9,704.82 = 2,088.32/x
  3. Step 3: Cross multiply
    6,471.52x = 9,704.82 × 2,088.32
  4. Step 4: Simplify right side
    6,471.52x = 20,266,769.70
  5. Step 5: Solve for x
    x = 20,266,769.70/6,471.52
  6. Step 6: Final answer
    x = 3,131.69

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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.