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Finding the Fourth Proportional to 6,952.72, 9,589.44 and 4,157.68

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Solution

The fourth proportional to 6,952.72, 9,589.44 and 4,157.68 is: 5,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.72 : 9,589.44 = 4,157.68 : x
  2. Step 2: Convert to fraction form
    6,952.72/9,589.44 = 4,157.68/x
  3. Step 3: Cross multiply
    6,952.72x = 9,589.44 × 4,157.68
  4. Step 4: Simplify right side
    6,952.72x = 39,869,822.90
  5. Step 5: Solve for x
    x = 39,869,822.90/6,952.72
  6. Step 6: Final answer
    x = 5,734.42

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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.