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Finding the Fourth Proportional to 6,267.24, 9,400.86 and 3,191.40

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Solution

The fourth proportional to 6,267.24, 9,400.86 and 3,191.40 is: 4,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.24 : 9,400.86 = 3,191.40 : x
  2. Step 2: Convert to fraction form
    6,267.24/9,400.86 = 3,191.40/x
  3. Step 3: Cross multiply
    6,267.24x = 9,400.86 × 3,191.40
  4. Step 4: Simplify right side
    6,267.24x = 30,001,904.60
  5. Step 5: Solve for x
    x = 30,001,904.60/6,267.24
  6. Step 6: Final answer
    x = 4,787.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.