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Finding the Fourth Proportional to 6,344.20, 9,498.07 and 4,776.85

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Solution

The fourth proportional to 6,344.20, 9,498.07 and 4,776.85 is: 7,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.20 : 9,498.07 = 4,776.85 : x
  2. Step 2: Convert to fraction form
    6,344.20/9,498.07 = 4,776.85/x
  3. Step 3: Cross multiply
    6,344.20x = 9,498.07 × 4,776.85
  4. Step 4: Simplify right side
    6,344.20x = 45,370,819.99
  5. Step 5: Solve for x
    x = 45,370,819.99/6,344.20
  6. Step 6: Final answer
    x = 7,151.55

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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.