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Finding the Fourth Proportional to 9,645.90, 13,310.20 and 5,397.18

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Solution

The fourth proportional to 9,645.90, 13,310.20 and 5,397.18 is: 7,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.90 : 13,310.20 = 5,397.18 : x
  2. Step 2: Convert to fraction form
    9,645.90/13,310.20 = 5,397.18/x
  3. Step 3: Cross multiply
    9,645.90x = 13,310.20 × 5,397.18
  4. Step 4: Simplify right side
    9,645.90x = 71,837,545.24
  5. Step 5: Solve for x
    x = 71,837,545.24/9,645.90
  6. Step 6: Final answer
    x = 7,447.47

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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.