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Finding the Fourth Proportional to 9,781.52, 13,496.28 and 5,589.68

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Solution

The fourth proportional to 9,781.52, 13,496.28 and 5,589.68 is: 7,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.52 : 13,496.28 = 5,589.68 : x
  2. Step 2: Convert to fraction form
    9,781.52/13,496.28 = 5,589.68/x
  3. Step 3: Cross multiply
    9,781.52x = 13,496.28 × 5,589.68
  4. Step 4: Simplify right side
    9,781.52x = 75,439,886.39
  5. Step 5: Solve for x
    x = 75,439,886.39/9,781.52
  6. Step 6: Final answer
    x = 7,712.49

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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.