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Finding the Fourth Proportional to 25,949.25, 38,927.25 and 9,311.13

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Solution

The fourth proportional to 25,949.25, 38,927.25 and 9,311.13 is: 13,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,949.25 : 38,927.25 = 9,311.13 : x
  2. Step 2: Convert to fraction form
    25,949.25/38,927.25 = 9,311.13/x
  3. Step 3: Cross multiply
    25,949.25x = 38,927.25 × 9,311.13
  4. Step 4: Simplify right side
    25,949.25x = 362,456,685.29
  5. Step 5: Solve for x
    x = 362,456,685.29/25,949.25
  6. Step 6: Final answer
    x = 13,967.91

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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.