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Finding the Fourth Proportional to 6,338.97, 9,506.18 and 3,375.59

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Solution

The fourth proportional to 6,338.97, 9,506.18 and 3,375.59 is: 5,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.97 : 9,506.18 = 3,375.59 : x
  2. Step 2: Convert to fraction form
    6,338.97/9,506.18 = 3,375.59/x
  3. Step 3: Cross multiply
    6,338.97x = 9,506.18 × 3,375.59
  4. Step 4: Simplify right side
    6,338.97x = 32,088,901.74
  5. Step 5: Solve for x
    x = 32,088,901.74/6,338.97
  6. Step 6: Final answer
    x = 5,062.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.