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Finding the Fourth Proportional to 25,976.34, 38,964.42 and 6,254.82

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Solution

The fourth proportional to 25,976.34, 38,964.42 and 6,254.82 is: 9,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976.34 : 38,964.42 = 6,254.82 : x
  2. Step 2: Convert to fraction form
    25,976.34/38,964.42 = 6,254.82/x
  3. Step 3: Cross multiply
    25,976.34x = 38,964.42 × 6,254.82
  4. Step 4: Simplify right side
    25,976.34x = 243,715,433.50
  5. Step 5: Solve for x
    x = 243,715,433.50/25,976.34
  6. Step 6: Final answer
    x = 9,382.21

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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.