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Finding the Fourth Proportional to 6,337.91, 9,507.50 and 2,177.37

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Solution

The fourth proportional to 6,337.91, 9,507.50 and 2,177.37 is: 3,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.91 : 9,507.50 = 2,177.37 : x
  2. Step 2: Convert to fraction form
    6,337.91/9,507.50 = 2,177.37/x
  3. Step 3: Cross multiply
    6,337.91x = 9,507.50 × 2,177.37
  4. Step 4: Simplify right side
    6,337.91x = 20,701,335.31
  5. Step 5: Solve for x
    x = 20,701,335.31/6,337.91
  6. Step 6: Final answer
    x = 3,266.27

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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.