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Finding the Fourth Proportional to 9,166.16, 13,682.93 and 8,481.38

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Solution

The fourth proportional to 9,166.16, 13,682.93 and 8,481.38 is: 12,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.16 : 13,682.93 = 8,481.38 : x
  2. Step 2: Convert to fraction form
    9,166.16/13,682.93 = 8,481.38/x
  3. Step 3: Cross multiply
    9,166.16x = 13,682.93 × 8,481.38
  4. Step 4: Simplify right side
    9,166.16x = 116,050,018.02
  5. Step 5: Solve for x
    x = 116,050,018.02/9,166.16
  6. Step 6: Final answer
    x = 12,660.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.