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Finding the Fourth Proportional to 9,749.25, 13,454.15 and 6,959.61

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Solution

The fourth proportional to 9,749.25, 13,454.15 and 6,959.61 is: 9,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.25 : 13,454.15 = 6,959.61 : x
  2. Step 2: Convert to fraction form
    9,749.25/13,454.15 = 6,959.61/x
  3. Step 3: Cross multiply
    9,749.25x = 13,454.15 × 6,959.61
  4. Step 4: Simplify right side
    9,749.25x = 93,635,602.08
  5. Step 5: Solve for x
    x = 93,635,602.08/9,749.25
  6. Step 6: Final answer
    x = 9,604.39

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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.