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Finding the Fourth Proportional to 6,338.17, 8,736.20 and 4,763.53

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Solution

The fourth proportional to 6,338.17, 8,736.20 and 4,763.53 is: 6,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.17 : 8,736.20 = 4,763.53 : x
  2. Step 2: Convert to fraction form
    6,338.17/8,736.20 = 4,763.53/x
  3. Step 3: Cross multiply
    6,338.17x = 8,736.20 × 4,763.53
  4. Step 4: Simplify right side
    6,338.17x = 41,615,126.97
  5. Step 5: Solve for x
    x = 41,615,126.97/6,338.17
  6. Step 6: Final answer
    x = 6,565.80

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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.