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Finding the Fourth Proportional to 9,676.56, 14,517.12 and 3,436.32

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Solution

The fourth proportional to 9,676.56, 14,517.12 and 3,436.32 is: 5,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.56 : 14,517.12 = 3,436.32 : x
  2. Step 2: Convert to fraction form
    9,676.56/14,517.12 = 3,436.32/x
  3. Step 3: Cross multiply
    9,676.56x = 14,517.12 × 3,436.32
  4. Step 4: Simplify right side
    9,676.56x = 49,885,537.12
  5. Step 5: Solve for x
    x = 49,885,537.12/9,676.56
  6. Step 6: Final answer
    x = 5,155.29

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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.