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Finding the Fourth Proportional to 6,338.75, 8,742.71 and 5,621.76

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Solution

The fourth proportional to 6,338.75, 8,742.71 and 5,621.76 is: 7,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.75 : 8,742.71 = 5,621.76 : x
  2. Step 2: Convert to fraction form
    6,338.75/8,742.71 = 5,621.76/x
  3. Step 3: Cross multiply
    6,338.75x = 8,742.71 × 5,621.76
  4. Step 4: Simplify right side
    6,338.75x = 49,149,389.26
  5. Step 5: Solve for x
    x = 49,149,389.26/6,338.75
  6. Step 6: Final answer
    x = 7,753.80

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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.