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Finding the Fourth Proportional to 7,162.64, 9,884.52 and 3,976

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Solution

The fourth proportional to 7,162.64, 9,884.52 and 3,976 is: 5,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.64 : 9,884.52 = 3,976 : x
  2. Step 2: Convert to fraction form
    7,162.64/9,884.52 = 3,976/x
  3. Step 3: Cross multiply
    7,162.64x = 9,884.52 × 3,976
  4. Step 4: Simplify right side
    7,162.64x = 39,300,851.52
  5. Step 5: Solve for x
    x = 39,300,851.52/7,162.64
  6. Step 6: Final answer
    x = 5,486.92

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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.