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Finding the Fourth Proportional to 9,781.56, 13,498.45 and 5,532.55

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Solution

The fourth proportional to 9,781.56, 13,498.45 and 5,532.55 is: 7,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.56 : 13,498.45 = 5,532.55 : x
  2. Step 2: Convert to fraction form
    9,781.56/13,498.45 = 5,532.55/x
  3. Step 3: Cross multiply
    9,781.56x = 13,498.45 × 5,532.55
  4. Step 4: Simplify right side
    9,781.56x = 74,680,877.90
  5. Step 5: Solve for x
    x = 74,680,877.90/9,781.56
  6. Step 6: Final answer
    x = 7,634.86

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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.