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Finding the Fourth Proportional to 6,952.16, 9,595.19 and 4,121.13

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Solution

The fourth proportional to 6,952.16, 9,595.19 and 4,121.13 is: 5,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.16 : 9,595.19 = 4,121.13 : x
  2. Step 2: Convert to fraction form
    6,952.16/9,595.19 = 4,121.13/x
  3. Step 3: Cross multiply
    6,952.16x = 9,595.19 × 4,121.13
  4. Step 4: Simplify right side
    6,952.16x = 39,543,017.68
  5. Step 5: Solve for x
    x = 39,543,017.68/6,952.16
  6. Step 6: Final answer
    x = 5,687.87

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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.