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Finding the Fourth Proportional to 6,863.16, 9,465.98 and 4,311.66

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Solution

The fourth proportional to 6,863.16, 9,465.98 and 4,311.66 is: 5,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.16 : 9,465.98 = 4,311.66 : x
  2. Step 2: Convert to fraction form
    6,863.16/9,465.98 = 4,311.66/x
  3. Step 3: Cross multiply
    6,863.16x = 9,465.98 × 4,311.66
  4. Step 4: Simplify right side
    6,863.16x = 40,814,087.33
  5. Step 5: Solve for x
    x = 40,814,087.33/6,863.16
  6. Step 6: Final answer
    x = 5,946.84

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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.