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Finding the Fourth Proportional to 6,337.32, 9,507.36 and 2,177.22

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Solution

The fourth proportional to 6,337.32, 9,507.36 and 2,177.22 is: 3,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.32 : 9,507.36 = 2,177.22 : x
  2. Step 2: Convert to fraction form
    6,337.32/9,507.36 = 2,177.22/x
  3. Step 3: Cross multiply
    6,337.32x = 9,507.36 × 2,177.22
  4. Step 4: Simplify right side
    6,337.32x = 20,699,614.34
  5. Step 5: Solve for x
    x = 20,699,614.34/6,337.32
  6. Step 6: Final answer
    x = 3,266.30

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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.