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Finding the Fourth Proportional to 9,115.65, 13,673.48 and 5,217.32

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Solution

The fourth proportional to 9,115.65, 13,673.48 and 5,217.32 is: 7,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.65 : 13,673.48 = 5,217.32 : x
  2. Step 2: Convert to fraction form
    9,115.65/13,673.48 = 5,217.32/x
  3. Step 3: Cross multiply
    9,115.65x = 13,673.48 × 5,217.32
  4. Step 4: Simplify right side
    9,115.65x = 71,338,920.67
  5. Step 5: Solve for x
    x = 71,338,920.67/9,115.65
  6. Step 6: Final answer
    x = 7,825.98

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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.