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Finding the Fourth Proportional to 9,781.80, 13,498.26 and 5,589.96

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Solution

The fourth proportional to 9,781.80, 13,498.26 and 5,589.96 is: 7,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.80 : 13,498.26 = 5,589.96 : x
  2. Step 2: Convert to fraction form
    9,781.80/13,498.26 = 5,589.96/x
  3. Step 3: Cross multiply
    9,781.80x = 13,498.26 × 5,589.96
  4. Step 4: Simplify right side
    9,781.80x = 75,454,733.47
  5. Step 5: Solve for x
    x = 75,454,733.47/9,781.80
  6. Step 6: Final answer
    x = 7,713.79

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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.