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Finding the Fourth Proportional to 7,138.77, 9,842.21 and 4,896.79

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Solution

The fourth proportional to 7,138.77, 9,842.21 and 4,896.79 is: 6,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.77 : 9,842.21 = 4,896.79 : x
  2. Step 2: Convert to fraction form
    7,138.77/9,842.21 = 4,896.79/x
  3. Step 3: Cross multiply
    7,138.77x = 9,842.21 × 4,896.79
  4. Step 4: Simplify right side
    7,138.77x = 48,195,204.78
  5. Step 5: Solve for x
    x = 48,195,204.78/7,138.77
  6. Step 6: Final answer
    x = 6,751.20

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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.