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Finding the Fourth Proportional to 6,702.13, 9,249.36 and 3,870.02

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Solution

The fourth proportional to 6,702.13, 9,249.36 and 3,870.02 is: 5,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.13 : 9,249.36 = 3,870.02 : x
  2. Step 2: Convert to fraction form
    6,702.13/9,249.36 = 3,870.02/x
  3. Step 3: Cross multiply
    6,702.13x = 9,249.36 × 3,870.02
  4. Step 4: Simplify right side
    6,702.13x = 35,795,218.46
  5. Step 5: Solve for x
    x = 35,795,218.46/6,702.13
  6. Step 6: Final answer
    x = 5,340.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.