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Finding the Fourth Proportional to 9,781.86, 13,498.14 and 5,532.70

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Solution

The fourth proportional to 9,781.86, 13,498.14 and 5,532.70 is: 7,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.86 : 13,498.14 = 5,532.70 : x
  2. Step 2: Convert to fraction form
    9,781.86/13,498.14 = 5,532.70/x
  3. Step 3: Cross multiply
    9,781.86x = 13,498.14 × 5,532.70
  4. Step 4: Simplify right side
    9,781.86x = 74,681,159.18
  5. Step 5: Solve for x
    x = 74,681,159.18/9,781.86
  6. Step 6: Final answer
    x = 7,634.66

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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.