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Finding the Fourth Proportional to 6,866.12, 9,475.70 and 3,880.86

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Solution

The fourth proportional to 6,866.12, 9,475.70 and 3,880.86 is: 5,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.12 : 9,475.70 = 3,880.86 : x
  2. Step 2: Convert to fraction form
    6,866.12/9,475.70 = 3,880.86/x
  3. Step 3: Cross multiply
    6,866.12x = 9,475.70 × 3,880.86
  4. Step 4: Simplify right side
    6,866.12x = 36,773,845.70
  5. Step 5: Solve for x
    x = 36,773,845.70/6,866.12
  6. Step 6: Final answer
    x = 5,355.84

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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.