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Finding the Fourth Proportional to 6,616.17, 9,931.56 and 3,845.97

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Solution

The fourth proportional to 6,616.17, 9,931.56 and 3,845.97 is: 5,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.17 : 9,931.56 = 3,845.97 : x
  2. Step 2: Convert to fraction form
    6,616.17/9,931.56 = 3,845.97/x
  3. Step 3: Cross multiply
    6,616.17x = 9,931.56 × 3,845.97
  4. Step 4: Simplify right side
    6,616.17x = 38,196,481.81
  5. Step 5: Solve for x
    x = 38,196,481.81/6,616.17
  6. Step 6: Final answer
    x = 5,773.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.