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Finding the Fourth Proportional to 7,060.73, 9,738.36 and 5,171.63

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Solution

The fourth proportional to 7,060.73, 9,738.36 and 5,171.63 is: 7,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.73 : 9,738.36 = 5,171.63 : x
  2. Step 2: Convert to fraction form
    7,060.73/9,738.36 = 5,171.63/x
  3. Step 3: Cross multiply
    7,060.73x = 9,738.36 × 5,171.63
  4. Step 4: Simplify right side
    7,060.73x = 50,363,146.04
  5. Step 5: Solve for x
    x = 50,363,146.04/7,060.73
  6. Step 6: Final answer
    x = 7,132.86

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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.