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Finding the Fourth Proportional to 9,754.34, 14,630.49 and 4,487.72

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Solution

The fourth proportional to 9,754.34, 14,630.49 and 4,487.72 is: 6,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.34 : 14,630.49 = 4,487.72 : x
  2. Step 2: Convert to fraction form
    9,754.34/14,630.49 = 4,487.72/x
  3. Step 3: Cross multiply
    9,754.34x = 14,630.49 × 4,487.72
  4. Step 4: Simplify right side
    9,754.34x = 65,657,469.43
  5. Step 5: Solve for x
    x = 65,657,469.43/9,754.34
  6. Step 6: Final answer
    x = 6,731.11

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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.