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Finding the Fourth Proportional to 7,129.64, 9,838.74 and 3,986.12

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Solution

The fourth proportional to 7,129.64, 9,838.74 and 3,986.12 is: 5,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.64 : 9,838.74 = 3,986.12 : x
  2. Step 2: Convert to fraction form
    7,129.64/9,838.74 = 3,986.12/x
  3. Step 3: Cross multiply
    7,129.64x = 9,838.74 × 3,986.12
  4. Step 4: Simplify right side
    7,129.64x = 39,218,398.29
  5. Step 5: Solve for x
    x = 39,218,398.29/7,129.64
  6. Step 6: Final answer
    x = 5,500.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.