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Finding the Fourth Proportional to 9,815.50, 13,545.25 and 5,339.15

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Solution

The fourth proportional to 9,815.50, 13,545.25 and 5,339.15 is: 7,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.50 : 13,545.25 = 5,339.15 : x
  2. Step 2: Convert to fraction form
    9,815.50/13,545.25 = 5,339.15/x
  3. Step 3: Cross multiply
    9,815.50x = 13,545.25 × 5,339.15
  4. Step 4: Simplify right side
    9,815.50x = 72,320,121.54
  5. Step 5: Solve for x
    x = 72,320,121.54/9,815.50
  6. Step 6: Final answer
    x = 7,367.95

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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.