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Finding the Fourth Proportional to 9,170.32, 13,755.21 and 2,596.49

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Solution

The fourth proportional to 9,170.32, 13,755.21 and 2,596.49 is: 3,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.32 : 13,755.21 = 2,596.49 : x
  2. Step 2: Convert to fraction form
    9,170.32/13,755.21 = 2,596.49/x
  3. Step 3: Cross multiply
    9,170.32x = 13,755.21 × 2,596.49
  4. Step 4: Simplify right side
    9,170.32x = 35,715,196.44
  5. Step 5: Solve for x
    x = 35,715,196.44/9,170.32
  6. Step 6: Final answer
    x = 3,894.65

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