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Finding the Fourth Proportional to 6,698.14, 9,245.82 and 4,572.15

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Solution

The fourth proportional to 6,698.14, 9,245.82 and 4,572.15 is: 6,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.14 : 9,245.82 = 4,572.15 : x
  2. Step 2: Convert to fraction form
    6,698.14/9,245.82 = 4,572.15/x
  3. Step 3: Cross multiply
    6,698.14x = 9,245.82 × 4,572.15
  4. Step 4: Simplify right side
    6,698.14x = 42,273,229.68
  5. Step 5: Solve for x
    x = 42,273,229.68/6,698.14
  6. Step 6: Final answer
    x = 6,311.19

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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.