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Finding the Fourth Proportional to 6,672.90, 9,217.38 and 5,120.16

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Solution

The fourth proportional to 6,672.90, 9,217.38 and 5,120.16 is: 7,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.90 : 9,217.38 = 5,120.16 : x
  2. Step 2: Convert to fraction form
    6,672.90/9,217.38 = 5,120.16/x
  3. Step 3: Cross multiply
    6,672.90x = 9,217.38 × 5,120.16
  4. Step 4: Simplify right side
    6,672.90x = 47,194,460.38
  5. Step 5: Solve for x
    x = 47,194,460.38/6,672.90
  6. Step 6: Final answer
    x = 7,072.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.