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Finding the Fourth Proportional to 9,310.56, 13,963.74 and 2,734.98

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Solution

The fourth proportional to 9,310.56, 13,963.74 and 2,734.98 is: 4,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.56 : 13,963.74 = 2,734.98 : x
  2. Step 2: Convert to fraction form
    9,310.56/13,963.74 = 2,734.98/x
  3. Step 3: Cross multiply
    9,310.56x = 13,963.74 × 2,734.98
  4. Step 4: Simplify right side
    9,310.56x = 38,190,549.63
  5. Step 5: Solve for x
    x = 38,190,549.63/9,310.56
  6. Step 6: Final answer
    x = 4,101.85

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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.