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Finding the Fourth Proportional to 7,064.57, 9,743.72 and 5,175.47

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Solution

The fourth proportional to 7,064.57, 9,743.72 and 5,175.47 is: 7,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.57 : 9,743.72 = 5,175.47 : x
  2. Step 2: Convert to fraction form
    7,064.57/9,743.72 = 5,175.47/x
  3. Step 3: Cross multiply
    7,064.57x = 9,743.72 × 5,175.47
  4. Step 4: Simplify right side
    7,064.57x = 50,428,255.95
  5. Step 5: Solve for x
    x = 50,428,255.95/7,064.57
  6. Step 6: Final answer
    x = 7,138.20

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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.