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Finding the Fourth Proportional to 6,959.32, 9,601.48 and 3,973.02

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Solution

The fourth proportional to 6,959.32, 9,601.48 and 3,973.02 is: 5,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.32 : 9,601.48 = 3,973.02 : x
  2. Step 2: Convert to fraction form
    6,959.32/9,601.48 = 3,973.02/x
  3. Step 3: Cross multiply
    6,959.32x = 9,601.48 × 3,973.02
  4. Step 4: Simplify right side
    6,959.32x = 38,146,872.07
  5. Step 5: Solve for x
    x = 38,146,872.07/6,959.32
  6. Step 6: Final answer
    x = 5,481.41

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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.