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Finding the Fourth Proportional to 9,676.10, 14,499.43 and 4,408.04

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Solution

The fourth proportional to 9,676.10, 14,499.43 and 4,408.04 is: 6,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.10 : 14,499.43 = 4,408.04 : x
  2. Step 2: Convert to fraction form
    9,676.10/14,499.43 = 4,408.04/x
  3. Step 3: Cross multiply
    9,676.10x = 14,499.43 × 4,408.04
  4. Step 4: Simplify right side
    9,676.10x = 63,914,067.42
  5. Step 5: Solve for x
    x = 63,914,067.42/9,676.10
  6. Step 6: Final answer
    x = 6,605.35

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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.