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Finding the Fourth Proportional to 9,327.34, 13,993.44 and 3,484

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Solution

The fourth proportional to 9,327.34, 13,993.44 and 3,484 is: 5,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.34 : 13,993.44 = 3,484 : x
  2. Step 2: Convert to fraction form
    9,327.34/13,993.44 = 3,484/x
  3. Step 3: Cross multiply
    9,327.34x = 13,993.44 × 3,484
  4. Step 4: Simplify right side
    9,327.34x = 48,753,144.96
  5. Step 5: Solve for x
    x = 48,753,144.96/9,327.34
  6. Step 6: Final answer
    x = 5,226.91

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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.