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Finding the Fourth Proportional to 9,234, 12,742.92 and 5,042.25

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Solution

The fourth proportional to 9,234, 12,742.92 and 5,042.25 is: 6,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234 : 12,742.92 = 5,042.25 : x
  2. Step 2: Convert to fraction form
    9,234/12,742.92 = 5,042.25/x
  3. Step 3: Cross multiply
    9,234x = 12,742.92 × 5,042.25
  4. Step 4: Simplify right side
    9,234x = 64,252,988.37
  5. Step 5: Solve for x
    x = 64,252,988.37/9,234
  6. Step 6: Final answer
    x = 6,958.31

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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.