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Finding the Fourth Proportional to 6,849.64, 9,452.49 and 3,865.47

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Solution

The fourth proportional to 6,849.64, 9,452.49 and 3,865.47 is: 5,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.64 : 9,452.49 = 3,865.47 : x
  2. Step 2: Convert to fraction form
    6,849.64/9,452.49 = 3,865.47/x
  3. Step 3: Cross multiply
    6,849.64x = 9,452.49 × 3,865.47
  4. Step 4: Simplify right side
    6,849.64x = 36,538,292.89
  5. Step 5: Solve for x
    x = 36,538,292.89/6,849.64
  6. Step 6: Final answer
    x = 5,334.34

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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.