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Finding the Fourth Proportional to 6,167.34, 9,256.68 and 4,437.18

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Solution

The fourth proportional to 6,167.34, 9,256.68 and 4,437.18 is: 6,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.34 : 9,256.68 = 4,437.18 : x
  2. Step 2: Convert to fraction form
    6,167.34/9,256.68 = 4,437.18/x
  3. Step 3: Cross multiply
    6,167.34x = 9,256.68 × 4,437.18
  4. Step 4: Simplify right side
    6,167.34x = 41,073,555.36
  5. Step 5: Solve for x
    x = 41,073,555.36/6,167.34
  6. Step 6: Final answer
    x = 6,659.85

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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.