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Finding the Fourth Proportional to 9,116.73, 13,660.50 and 8,241.93

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Solution

The fourth proportional to 9,116.73, 13,660.50 and 8,241.93 is: 12,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.73 : 13,660.50 = 8,241.93 : x
  2. Step 2: Convert to fraction form
    9,116.73/13,660.50 = 8,241.93/x
  3. Step 3: Cross multiply
    9,116.73x = 13,660.50 × 8,241.93
  4. Step 4: Simplify right side
    9,116.73x = 112,588,884.77
  5. Step 5: Solve for x
    x = 112,588,884.77/9,116.73
  6. Step 6: Final answer
    x = 12,349.70

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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.