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Finding the Fourth Proportional to 6,739.34, 9,306.70 and 6,371.19

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Solution

The fourth proportional to 6,739.34, 9,306.70 and 6,371.19 is: 8,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.34 : 9,306.70 = 6,371.19 : x
  2. Step 2: Convert to fraction form
    6,739.34/9,306.70 = 6,371.19/x
  3. Step 3: Cross multiply
    6,739.34x = 9,306.70 × 6,371.19
  4. Step 4: Simplify right side
    6,739.34x = 59,294,738.05
  5. Step 5: Solve for x
    x = 59,294,738.05/6,739.34
  6. Step 6: Final answer
    x = 8,798.31

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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.