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Finding the Fourth Proportional to 9,679.48, 14,486.82 and 8,508.76

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Solution

The fourth proportional to 9,679.48, 14,486.82 and 8,508.76 is: 12,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.48 : 14,486.82 = 8,508.76 : x
  2. Step 2: Convert to fraction form
    9,679.48/14,486.82 = 8,508.76/x
  3. Step 3: Cross multiply
    9,679.48x = 14,486.82 × 8,508.76
  4. Step 4: Simplify right side
    9,679.48x = 123,264,874.54
  5. Step 5: Solve for x
    x = 123,264,874.54/9,679.48
  6. Step 6: Final answer
    x = 12,734.66

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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.