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Finding the Fourth Proportional to 10,262.31, 15,377.04 and 9,278.16

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Solution

The fourth proportional to 10,262.31, 15,377.04 and 9,278.16 is: 13,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.31 : 15,377.04 = 9,278.16 : x
  2. Step 2: Convert to fraction form
    10,262.31/15,377.04 = 9,278.16/x
  3. Step 3: Cross multiply
    10,262.31x = 15,377.04 × 9,278.16
  4. Step 4: Simplify right side
    10,262.31x = 142,670,637.45
  5. Step 5: Solve for x
    x = 142,670,637.45/10,262.31
  6. Step 6: Final answer
    x = 13,902.39

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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.