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Finding the Fourth Proportional to 9,814.52, 13,543.75 and 5,565.97

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Solution

The fourth proportional to 9,814.52, 13,543.75 and 5,565.97 is: 7,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.52 : 13,543.75 = 5,565.97 : x
  2. Step 2: Convert to fraction form
    9,814.52/13,543.75 = 5,565.97/x
  3. Step 3: Cross multiply
    9,814.52x = 13,543.75 × 5,565.97
  4. Step 4: Simplify right side
    9,814.52x = 75,384,106.19
  5. Step 5: Solve for x
    x = 75,384,106.19/9,814.52
  6. Step 6: Final answer
    x = 7,680.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.