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Finding the Fourth Proportional to 10,262.70, 15,377.63 and 9,278.55

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Solution

The fourth proportional to 10,262.70, 15,377.63 and 9,278.55 is: 13,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.70 : 15,377.63 = 9,278.55 : x
  2. Step 2: Convert to fraction form
    10,262.70/15,377.63 = 9,278.55/x
  3. Step 3: Cross multiply
    10,262.70x = 15,377.63 × 9,278.55
  4. Step 4: Simplify right side
    10,262.70x = 142,682,062.44
  5. Step 5: Solve for x
    x = 142,682,062.44/10,262.70
  6. Step 6: Final answer
    x = 13,902.98

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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.