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Finding the Fourth Proportional to 6,695.29, 9,243.72 and 4,306.33

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Solution

The fourth proportional to 6,695.29, 9,243.72 and 4,306.33 is: 5,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.29 : 9,243.72 = 4,306.33 : x
  2. Step 2: Convert to fraction form
    6,695.29/9,243.72 = 4,306.33/x
  3. Step 3: Cross multiply
    6,695.29x = 9,243.72 × 4,306.33
  4. Step 4: Simplify right side
    6,695.29x = 39,806,508.75
  5. Step 5: Solve for x
    x = 39,806,508.75/6,695.29
  6. Step 6: Final answer
    x = 5,945.45

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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.