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Finding the Fourth Proportional to 9,234, 12,743.01 and 5,042.34

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Solution

The fourth proportional to 9,234, 12,743.01 and 5,042.34 is: 6,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234 : 12,743.01 = 5,042.34 : x
  2. Step 2: Convert to fraction form
    9,234/12,743.01 = 5,042.34/x
  3. Step 3: Cross multiply
    9,234x = 12,743.01 × 5,042.34
  4. Step 4: Simplify right side
    9,234x = 64,254,589.04
  5. Step 5: Solve for x
    x = 64,254,589.04/9,234
  6. Step 6: Final answer
    x = 6,958.48

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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.