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Finding the Fourth Proportional to 9,645.68, 13,310.49 and 5,395.92

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Solution

The fourth proportional to 9,645.68, 13,310.49 and 5,395.92 is: 7,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.68 : 13,310.49 = 5,395.92 : x
  2. Step 2: Convert to fraction form
    9,645.68/13,310.49 = 5,395.92/x
  3. Step 3: Cross multiply
    9,645.68x = 13,310.49 × 5,395.92
  4. Step 4: Simplify right side
    9,645.68x = 71,822,339.20
  5. Step 5: Solve for x
    x = 71,822,339.20/9,645.68
  6. Step 6: Final answer
    x = 7,446.06

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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.