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Finding the Fourth Proportional to 9,781.66, 13,493.68 and 6,241.15

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Solution

The fourth proportional to 9,781.66, 13,493.68 and 6,241.15 is: 8,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.66 : 13,493.68 = 6,241.15 : x
  2. Step 2: Convert to fraction form
    9,781.66/13,493.68 = 6,241.15/x
  3. Step 3: Cross multiply
    9,781.66x = 13,493.68 × 6,241.15
  4. Step 4: Simplify right side
    9,781.66x = 84,216,080.93
  5. Step 5: Solve for x
    x = 84,216,080.93/9,781.66
  6. Step 6: Final answer
    x = 8,609.59

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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.