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Finding the Fourth Proportional to 6,217.76, 9,375.48 and 5,701.20

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Solution

The fourth proportional to 6,217.76, 9,375.48 and 5,701.20 is: 8,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.76 : 9,375.48 = 5,701.20 : x
  2. Step 2: Convert to fraction form
    6,217.76/9,375.48 = 5,701.20/x
  3. Step 3: Cross multiply
    6,217.76x = 9,375.48 × 5,701.20
  4. Step 4: Simplify right side
    6,217.76x = 53,451,486.58
  5. Step 5: Solve for x
    x = 53,451,486.58/6,217.76
  6. Step 6: Final answer
    x = 8,596.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.