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Finding the Fourth Proportional to 6,713.34, 9,260.67 and 6,238.18

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Solution

The fourth proportional to 6,713.34, 9,260.67 and 6,238.18 is: 8,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.34 : 9,260.67 = 6,238.18 : x
  2. Step 2: Convert to fraction form
    6,713.34/9,260.67 = 6,238.18/x
  3. Step 3: Cross multiply
    6,713.34x = 9,260.67 × 6,238.18
  4. Step 4: Simplify right side
    6,713.34x = 57,769,726.38
  5. Step 5: Solve for x
    x = 57,769,726.38/6,713.34
  6. Step 6: Final answer
    x = 8,605.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.