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Finding the Fourth Proportional to 10,279.32, 15,411.29 and 9,236.31

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Solution

The fourth proportional to 10,279.32, 15,411.29 and 9,236.31 is: 13,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.32 : 15,411.29 = 9,236.31 : x
  2. Step 2: Convert to fraction form
    10,279.32/15,411.29 = 9,236.31/x
  3. Step 3: Cross multiply
    10,279.32x = 15,411.29 × 9,236.31
  4. Step 4: Simplify right side
    10,279.32x = 142,343,405.76
  5. Step 5: Solve for x
    x = 142,343,405.76/10,279.32
  6. Step 6: Final answer
    x = 13,847.55

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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.