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Finding the Fourth Proportional to 6,959.78, 9,607.11 and 4,308.38

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Solution

The fourth proportional to 6,959.78, 9,607.11 and 4,308.38 is: 5,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.78 : 9,607.11 = 4,308.38 : x
  2. Step 2: Convert to fraction form
    6,959.78/9,607.11 = 4,308.38/x
  3. Step 3: Cross multiply
    6,959.78x = 9,607.11 × 4,308.38
  4. Step 4: Simplify right side
    6,959.78x = 41,391,080.58
  5. Step 5: Solve for x
    x = 41,391,080.58/6,959.78
  6. Step 6: Final answer
    x = 5,947.18

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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.