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Finding the Fourth Proportional to 6,217.76, 8,591.44 and 4,969.12

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Solution

The fourth proportional to 6,217.76, 8,591.44 and 4,969.12 is: 6,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.76 : 8,591.44 = 4,969.12 : x
  2. Step 2: Convert to fraction form
    6,217.76/8,591.44 = 4,969.12/x
  3. Step 3: Cross multiply
    6,217.76x = 8,591.44 × 4,969.12
  4. Step 4: Simplify right side
    6,217.76x = 42,691,894.55
  5. Step 5: Solve for x
    x = 42,691,894.55/6,217.76
  6. Step 6: Final answer
    x = 6,866.12

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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.