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Finding the Fourth Proportional to 9,317.65, 12,856.92 and 5,540.74

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Solution

The fourth proportional to 9,317.65, 12,856.92 and 5,540.74 is: 7,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.65 : 12,856.92 = 5,540.74 : x
  2. Step 2: Convert to fraction form
    9,317.65/12,856.92 = 5,540.74/x
  3. Step 3: Cross multiply
    9,317.65x = 12,856.92 × 5,540.74
  4. Step 4: Simplify right side
    9,317.65x = 71,236,850.92
  5. Step 5: Solve for x
    x = 71,236,850.92/9,317.65
  6. Step 6: Final answer
    x = 7,645.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.