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Finding the Fourth Proportional to 6,346.01, 9,517.50 and 2,397.65

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Solution

The fourth proportional to 6,346.01, 9,517.50 and 2,397.65 is: 3,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.01 : 9,517.50 = 2,397.65 : x
  2. Step 2: Convert to fraction form
    6,346.01/9,517.50 = 2,397.65/x
  3. Step 3: Cross multiply
    6,346.01x = 9,517.50 × 2,397.65
  4. Step 4: Simplify right side
    6,346.01x = 22,819,633.88
  5. Step 5: Solve for x
    x = 22,819,633.88/6,346.01
  6. Step 6: Final answer
    x = 3,595.90

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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.