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Finding the Fourth Proportional to 9,383.40, 14,073.38 and 3,459

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Solution

The fourth proportional to 9,383.40, 14,073.38 and 3,459 is: 5,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.40 : 14,073.38 = 3,459 : x
  2. Step 2: Convert to fraction form
    9,383.40/14,073.38 = 3,459/x
  3. Step 3: Cross multiply
    9,383.40x = 14,073.38 × 3,459
  4. Step 4: Simplify right side
    9,383.40x = 48,679,821.42
  5. Step 5: Solve for x
    x = 48,679,821.42/9,383.40
  6. Step 6: Final answer
    x = 5,187.87

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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.