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Finding the Fourth Proportional to 9,272.44, 13,910.10 and 3,115

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Solution

The fourth proportional to 9,272.44, 13,910.10 and 3,115 is: 4,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.44 : 13,910.10 = 3,115 : x
  2. Step 2: Convert to fraction form
    9,272.44/13,910.10 = 3,115/x
  3. Step 3: Cross multiply
    9,272.44x = 13,910.10 × 3,115
  4. Step 4: Simplify right side
    9,272.44x = 43,329,961.50
  5. Step 5: Solve for x
    x = 43,329,961.50/9,272.44
  6. Step 6: Final answer
    x = 4,672.98

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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.