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Finding the Fourth Proportional to 6,338.10, 9,507.15 and 4,123.80

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Solution

The fourth proportional to 6,338.10, 9,507.15 and 4,123.80 is: 6,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.10 : 9,507.15 = 4,123.80 : x
  2. Step 2: Convert to fraction form
    6,338.10/9,507.15 = 4,123.80/x
  3. Step 3: Cross multiply
    6,338.10x = 9,507.15 × 4,123.80
  4. Step 4: Simplify right side
    6,338.10x = 39,205,585.17
  5. Step 5: Solve for x
    x = 39,205,585.17/6,338.10
  6. Step 6: Final answer
    x = 6,185.70

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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.