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Finding the Fourth Proportional to 6,437.31, 9,655.20 and 1,757.67

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Solution

The fourth proportional to 6,437.31, 9,655.20 and 1,757.67 is: 2,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.31 : 9,655.20 = 1,757.67 : x
  2. Step 2: Convert to fraction form
    6,437.31/9,655.20 = 1,757.67/x
  3. Step 3: Cross multiply
    6,437.31x = 9,655.20 × 1,757.67
  4. Step 4: Simplify right side
    6,437.31x = 16,970,655.38
  5. Step 5: Solve for x
    x = 16,970,655.38/6,437.31
  6. Step 6: Final answer
    x = 2,636.30

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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.