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Finding the Fourth Proportional to 7,162.43, 9,879.77 and 5,034.20

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Solution

The fourth proportional to 7,162.43, 9,879.77 and 5,034.20 is: 6,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.43 : 9,879.77 = 5,034.20 : x
  2. Step 2: Convert to fraction form
    7,162.43/9,879.77 = 5,034.20/x
  3. Step 3: Cross multiply
    7,162.43x = 9,879.77 × 5,034.20
  4. Step 4: Simplify right side
    7,162.43x = 49,736,756.89
  5. Step 5: Solve for x
    x = 49,736,756.89/7,162.43
  6. Step 6: Final answer
    x = 6,944.12

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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.