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Finding the Fourth Proportional to 6,170.34, 9,255.52 and 1,553.34

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Solution

The fourth proportional to 6,170.34, 9,255.52 and 1,553.34 is: 2,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.34 : 9,255.52 = 1,553.34 : x
  2. Step 2: Convert to fraction form
    6,170.34/9,255.52 = 1,553.34/x
  3. Step 3: Cross multiply
    6,170.34x = 9,255.52 × 1,553.34
  4. Step 4: Simplify right side
    6,170.34x = 14,376,997.35
  5. Step 5: Solve for x
    x = 14,376,997.35/6,170.34
  6. Step 6: Final answer
    x = 2,330.02

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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.