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Finding the Fourth Proportional to 9,338.75, 14,008.12 and 6,408.17

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Solution

The fourth proportional to 9,338.75, 14,008.12 and 6,408.17 is: 9,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.75 : 14,008.12 = 6,408.17 : x
  2. Step 2: Convert to fraction form
    9,338.75/14,008.12 = 6,408.17/x
  3. Step 3: Cross multiply
    9,338.75x = 14,008.12 × 6,408.17
  4. Step 4: Simplify right side
    9,338.75x = 89,766,328.28
  5. Step 5: Solve for x
    x = 89,766,328.28/9,338.75
  6. Step 6: Final answer
    x = 9,612.25

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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.