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Finding the Fourth Proportional to 9,408.05, 12,974.06 and 6,853.40

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Solution

The fourth proportional to 9,408.05, 12,974.06 and 6,853.40 is: 9,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.05 : 12,974.06 = 6,853.40 : x
  2. Step 2: Convert to fraction form
    9,408.05/12,974.06 = 6,853.40/x
  3. Step 3: Cross multiply
    9,408.05x = 12,974.06 × 6,853.40
  4. Step 4: Simplify right side
    9,408.05x = 88,916,422.80
  5. Step 5: Solve for x
    x = 88,916,422.80/9,408.05
  6. Step 6: Final answer
    x = 9,451.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.