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Finding the Fourth Proportional to 6,952.10, 9,594.05 and 3,967.87

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Solution

The fourth proportional to 6,952.10, 9,594.05 and 3,967.87 is: 5,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.10 : 9,594.05 = 3,967.87 : x
  2. Step 2: Convert to fraction form
    6,952.10/9,594.05 = 3,967.87/x
  3. Step 3: Cross multiply
    6,952.10x = 9,594.05 × 3,967.87
  4. Step 4: Simplify right side
    6,952.10x = 38,067,933.25
  5. Step 5: Solve for x
    x = 38,067,933.25/6,952.10
  6. Step 6: Final answer
    x = 5,475.75

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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.