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Finding the Fourth Proportional to 6,630.57, 9,146.39 and 4,142.25

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Solution

The fourth proportional to 6,630.57, 9,146.39 and 4,142.25 is: 5,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.57 : 9,146.39 = 4,142.25 : x
  2. Step 2: Convert to fraction form
    6,630.57/9,146.39 = 4,142.25/x
  3. Step 3: Cross multiply
    6,630.57x = 9,146.39 × 4,142.25
  4. Step 4: Simplify right side
    6,630.57x = 37,886,613.27
  5. Step 5: Solve for x
    x = 37,886,613.27/6,630.57
  6. Step 6: Final answer
    x = 5,713.93

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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.