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Finding the Fourth Proportional to 9,512.32, 14,252.23 and 6,734.38

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Solution

The fourth proportional to 9,512.32, 14,252.23 and 6,734.38 is: 10,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.32 : 14,252.23 = 6,734.38 : x
  2. Step 2: Convert to fraction form
    9,512.32/14,252.23 = 6,734.38/x
  3. Step 3: Cross multiply
    9,512.32x = 14,252.23 × 6,734.38
  4. Step 4: Simplify right side
    9,512.32x = 95,979,932.67
  5. Step 5: Solve for x
    x = 95,979,932.67/9,512.32
  6. Step 6: Final answer
    x = 10,090.07

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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.