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Finding the Fourth Proportional to 9,681.33, 14,520.26 and 2,565.62

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Solution

The fourth proportional to 9,681.33, 14,520.26 and 2,565.62 is: 3,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.33 : 14,520.26 = 2,565.62 : x
  2. Step 2: Convert to fraction form
    9,681.33/14,520.26 = 2,565.62/x
  3. Step 3: Cross multiply
    9,681.33x = 14,520.26 × 2,565.62
  4. Step 4: Simplify right side
    9,681.33x = 37,253,469.46
  5. Step 5: Solve for x
    x = 37,253,469.46/9,681.33
  6. Step 6: Final answer
    x = 3,847.97

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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.