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Finding the Fourth Proportional to 9,317.34, 13,978.44 and 3,474

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Solution

The fourth proportional to 9,317.34, 13,978.44 and 3,474 is: 5,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.34 : 13,978.44 = 3,474 : x
  2. Step 2: Convert to fraction form
    9,317.34/13,978.44 = 3,474/x
  3. Step 3: Cross multiply
    9,317.34x = 13,978.44 × 3,474
  4. Step 4: Simplify right side
    9,317.34x = 48,561,100.56
  5. Step 5: Solve for x
    x = 48,561,100.56/9,317.34
  6. Step 6: Final answer
    x = 5,211.91

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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.