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Finding the Fourth Proportional to 9,234.06, 12,743.11 and 5,042.31

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Solution

The fourth proportional to 9,234.06, 12,743.11 and 5,042.31 is: 6,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.06 : 12,743.11 = 5,042.31 : x
  2. Step 2: Convert to fraction form
    9,234.06/12,743.11 = 5,042.31/x
  3. Step 3: Cross multiply
    9,234.06x = 12,743.11 × 5,042.31
  4. Step 4: Simplify right side
    9,234.06x = 64,254,710.98
  5. Step 5: Solve for x
    x = 64,254,710.98/9,234.06
  6. Step 6: Final answer
    x = 6,958.45

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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.