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Finding the Fourth Proportional to 6,656.40, 9,984.60 and 5,963.85

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Solution

The fourth proportional to 6,656.40, 9,984.60 and 5,963.85 is: 8,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.40 : 9,984.60 = 5,963.85 : x
  2. Step 2: Convert to fraction form
    6,656.40/9,984.60 = 5,963.85/x
  3. Step 3: Cross multiply
    6,656.40x = 9,984.60 × 5,963.85
  4. Step 4: Simplify right side
    6,656.40x = 59,546,656.71
  5. Step 5: Solve for x
    x = 59,546,656.71/6,656.40
  6. Step 6: Final answer
    x = 8,945.78

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