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Finding the Fourth Proportional to 6,338.21, 8,746.76 and 3,543.71

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Solution

The fourth proportional to 6,338.21, 8,746.76 and 3,543.71 is: 4,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.21 : 8,746.76 = 3,543.71 : x
  2. Step 2: Convert to fraction form
    6,338.21/8,746.76 = 3,543.71/x
  3. Step 3: Cross multiply
    6,338.21x = 8,746.76 × 3,543.71
  4. Step 4: Simplify right side
    6,338.21x = 30,995,963.16
  5. Step 5: Solve for x
    x = 30,995,963.16/6,338.21
  6. Step 6: Final answer
    x = 4,890.33

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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.