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Finding the Fourth Proportional to 9,754.70, 14,634.38 and 3,180.89

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Solution

The fourth proportional to 9,754.70, 14,634.38 and 3,180.89 is: 4,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.70 : 14,634.38 = 3,180.89 : x
  2. Step 2: Convert to fraction form
    9,754.70/14,634.38 = 3,180.89/x
  3. Step 3: Cross multiply
    9,754.70x = 14,634.38 × 3,180.89
  4. Step 4: Simplify right side
    9,754.70x = 46,550,385.61
  5. Step 5: Solve for x
    x = 46,550,385.61/9,754.70
  6. Step 6: Final answer
    x = 4,772.10

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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.