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Finding the Fourth Proportional to 9,657.18, 13,324.23 and 5,679.54

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Solution

The fourth proportional to 9,657.18, 13,324.23 and 5,679.54 is: 7,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.18 : 13,324.23 = 5,679.54 : x
  2. Step 2: Convert to fraction form
    9,657.18/13,324.23 = 5,679.54/x
  3. Step 3: Cross multiply
    9,657.18x = 13,324.23 × 5,679.54
  4. Step 4: Simplify right side
    9,657.18x = 75,675,497.25
  5. Step 5: Solve for x
    x = 75,675,497.25/9,657.18
  6. Step 6: Final answer
    x = 7,836.19

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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.