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Finding the Fourth Proportional to 8,954.34, 13,431.50 and 3,110.95

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Solution

The fourth proportional to 8,954.34, 13,431.50 and 3,110.95 is: 4,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.34 : 13,431.50 = 3,110.95 : x
  2. Step 2: Convert to fraction form
    8,954.34/13,431.50 = 3,110.95/x
  3. Step 3: Cross multiply
    8,954.34x = 13,431.50 × 3,110.95
  4. Step 4: Simplify right side
    8,954.34x = 41,784,724.93
  5. Step 5: Solve for x
    x = 41,784,724.93/8,954.34
  6. Step 6: Final answer
    x = 4,666.42

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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.