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Finding the Fourth Proportional to 9,961.84, 14,951.97 and 5,034.93

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Solution

The fourth proportional to 9,961.84, 14,951.97 and 5,034.93 is: 7,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.84 : 14,951.97 = 5,034.93 : x
  2. Step 2: Convert to fraction form
    9,961.84/14,951.97 = 5,034.93/x
  3. Step 3: Cross multiply
    9,961.84x = 14,951.97 × 5,034.93
  4. Step 4: Simplify right side
    9,961.84x = 75,282,122.31
  5. Step 5: Solve for x
    x = 75,282,122.31/9,961.84
  6. Step 6: Final answer
    x = 7,557.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.