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Finding the Fourth Proportional to 9,116.73, 13,665.38 and 6,511.77

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Solution

The fourth proportional to 9,116.73, 13,665.38 and 6,511.77 is: 9,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.73 : 13,665.38 = 6,511.77 : x
  2. Step 2: Convert to fraction form
    9,116.73/13,665.38 = 6,511.77/x
  3. Step 3: Cross multiply
    9,116.73x = 13,665.38 × 6,511.77
  4. Step 4: Simplify right side
    9,116.73x = 88,985,778.96
  5. Step 5: Solve for x
    x = 88,985,778.96/9,116.73
  6. Step 6: Final answer
    x = 9,760.71

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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.