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Finding the Fourth Proportional to 9,398.33, 14,099.12 and 3,158.96

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Solution

The fourth proportional to 9,398.33, 14,099.12 and 3,158.96 is: 4,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.33 : 14,099.12 = 3,158.96 : x
  2. Step 2: Convert to fraction form
    9,398.33/14,099.12 = 3,158.96/x
  3. Step 3: Cross multiply
    9,398.33x = 14,099.12 × 3,158.96
  4. Step 4: Simplify right side
    9,398.33x = 44,538,469.82
  5. Step 5: Solve for x
    x = 44,538,469.82/9,398.33
  6. Step 6: Final answer
    x = 4,738.98

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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.