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Finding the Fourth Proportional to 28,275.28, 42,414.98 and 9,549.09

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Solution

The fourth proportional to 28,275.28, 42,414.98 and 9,549.09 is: 14,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,275.28 : 42,414.98 = 9,549.09 : x
  2. Step 2: Convert to fraction form
    28,275.28/42,414.98 = 9,549.09/x
  3. Step 3: Cross multiply
    28,275.28x = 42,414.98 × 9,549.09
  4. Step 4: Simplify right side
    28,275.28x = 405,024,413.62
  5. Step 5: Solve for x
    x = 405,024,413.62/28,275.28
  6. Step 6: Final answer
    x = 14,324.33

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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.