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Finding the Fourth Proportional to 9,188.10, 12,676.82 and 6,352.16

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Solution

The fourth proportional to 9,188.10, 12,676.82 and 6,352.16 is: 8,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.10 : 12,676.82 = 6,352.16 : x
  2. Step 2: Convert to fraction form
    9,188.10/12,676.82 = 6,352.16/x
  3. Step 3: Cross multiply
    9,188.10x = 12,676.82 × 6,352.16
  4. Step 4: Simplify right side
    9,188.10x = 80,525,093.79
  5. Step 5: Solve for x
    x = 80,525,093.79/9,188.10
  6. Step 6: Final answer
    x = 8,764.06

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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.