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Finding the Fourth Proportional to 9,676.62, 14,517.30 and 3,103.44

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Solution

The fourth proportional to 9,676.62, 14,517.30 and 3,103.44 is: 4,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.62 : 14,517.30 = 3,103.44 : x
  2. Step 2: Convert to fraction form
    9,676.62/14,517.30 = 3,103.44/x
  3. Step 3: Cross multiply
    9,676.62x = 14,517.30 × 3,103.44
  4. Step 4: Simplify right side
    9,676.62x = 45,053,569.51
  5. Step 5: Solve for x
    x = 45,053,569.51/9,676.62
  6. Step 6: Final answer
    x = 4,655.92

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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.