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Finding the Fourth Proportional to 6,871.23, 9,466.74 and 5,162.13

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Solution

The fourth proportional to 6,871.23, 9,466.74 and 5,162.13 is: 7,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.23 : 9,466.74 = 5,162.13 : x
  2. Step 2: Convert to fraction form
    6,871.23/9,466.74 = 5,162.13/x
  3. Step 3: Cross multiply
    6,871.23x = 9,466.74 × 5,162.13
  4. Step 4: Simplify right side
    6,871.23x = 48,868,542.56
  5. Step 5: Solve for x
    x = 48,868,542.56/6,871.23
  6. Step 6: Final answer
    x = 7,112.05

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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.