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Finding the Fourth Proportional to 9,952.67, 13,734.36 and 5,971.42

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Solution

The fourth proportional to 9,952.67, 13,734.36 and 5,971.42 is: 8,240.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.67 : 13,734.36 = 5,971.42 : x
  2. Step 2: Convert to fraction form
    9,952.67/13,734.36 = 5,971.42/x
  3. Step 3: Cross multiply
    9,952.67x = 13,734.36 × 5,971.42
  4. Step 4: Simplify right side
    9,952.67x = 82,013,649.16
  5. Step 5: Solve for x
    x = 82,013,649.16/9,952.67
  6. Step 6: Final answer
    x = 8,240.36

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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.