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Finding the Fourth Proportional to 6,338.90, 9,507.81 and 2,488.07

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Solution

The fourth proportional to 6,338.90, 9,507.81 and 2,488.07 is: 3,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.90 : 9,507.81 = 2,488.07 : x
  2. Step 2: Convert to fraction form
    6,338.90/9,507.81 = 2,488.07/x
  3. Step 3: Cross multiply
    6,338.90x = 9,507.81 × 2,488.07
  4. Step 4: Simplify right side
    6,338.90x = 23,656,096.83
  5. Step 5: Solve for x
    x = 23,656,096.83/6,338.90
  6. Step 6: Final answer
    x = 3,731.89

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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.