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Finding the Fourth Proportional to 9,321.34, 13,984.44 and 3,478

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Solution

The fourth proportional to 9,321.34, 13,984.44 and 3,478 is: 5,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.34 : 13,984.44 = 3,478 : x
  2. Step 2: Convert to fraction form
    9,321.34/13,984.44 = 3,478/x
  3. Step 3: Cross multiply
    9,321.34x = 13,984.44 × 3,478
  4. Step 4: Simplify right side
    9,321.34x = 48,637,882.32
  5. Step 5: Solve for x
    x = 48,637,882.32/9,321.34
  6. Step 6: Final answer
    x = 5,217.91

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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.