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Finding the Fourth Proportional to 9,236.16, 12,743.28 and 6,726.24

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Solution

The fourth proportional to 9,236.16, 12,743.28 and 6,726.24 is: 9,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.16 : 12,743.28 = 6,726.24 : x
  2. Step 2: Convert to fraction form
    9,236.16/12,743.28 = 6,726.24/x
  3. Step 3: Cross multiply
    9,236.16x = 12,743.28 × 6,726.24
  4. Step 4: Simplify right side
    9,236.16x = 85,714,359.67
  5. Step 5: Solve for x
    x = 85,714,359.67/9,236.16
  6. Step 6: Final answer
    x = 9,280.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.