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Finding the Fourth Proportional to 6,267.20, 9,400.80 and 5,756.90

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Solution

The fourth proportional to 6,267.20, 9,400.80 and 5,756.90 is: 8,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.20 : 9,400.80 = 5,756.90 : x
  2. Step 2: Convert to fraction form
    6,267.20/9,400.80 = 5,756.90/x
  3. Step 3: Cross multiply
    6,267.20x = 9,400.80 × 5,756.90
  4. Step 4: Simplify right side
    6,267.20x = 54,119,465.52
  5. Step 5: Solve for x
    x = 54,119,465.52/6,267.20
  6. Step 6: Final answer
    x = 8,635.35

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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.