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Finding the Fourth Proportional to 6,966.57, 9,626.58 and 5,074.85

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Solution

The fourth proportional to 6,966.57, 9,626.58 and 5,074.85 is: 7,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.57 : 9,626.58 = 5,074.85 : x
  2. Step 2: Convert to fraction form
    6,966.57/9,626.58 = 5,074.85/x
  3. Step 3: Cross multiply
    6,966.57x = 9,626.58 × 5,074.85
  4. Step 4: Simplify right side
    6,966.57x = 48,853,473.58
  5. Step 5: Solve for x
    x = 48,853,473.58/6,966.57
  6. Step 6: Final answer
    x = 7,012.55

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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.