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Finding the Fourth Proportional to 9,725.98, 13,422.86 and 5,951.66

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Solution

The fourth proportional to 9,725.98, 13,422.86 and 5,951.66 is: 8,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.98 : 13,422.86 = 5,951.66 : x
  2. Step 2: Convert to fraction form
    9,725.98/13,422.86 = 5,951.66/x
  3. Step 3: Cross multiply
    9,725.98x = 13,422.86 × 5,951.66
  4. Step 4: Simplify right side
    9,725.98x = 79,888,298.95
  5. Step 5: Solve for x
    x = 79,888,298.95/9,725.98
  6. Step 6: Final answer
    x = 8,213.91

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