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Finding the Fourth Proportional to 8,963.85, 13,452.72 and 6,209.82

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Solution

The fourth proportional to 8,963.85, 13,452.72 and 6,209.82 is: 9,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.85 : 13,452.72 = 6,209.82 : x
  2. Step 2: Convert to fraction form
    8,963.85/13,452.72 = 6,209.82/x
  3. Step 3: Cross multiply
    8,963.85x = 13,452.72 × 6,209.82
  4. Step 4: Simplify right side
    8,963.85x = 83,538,969.71
  5. Step 5: Solve for x
    x = 83,538,969.71/8,963.85
  6. Step 6: Final answer
    x = 9,319.54

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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.