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Finding the Fourth Proportional to 9,109.40, 13,664.10 and 8,015.90

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Solution

The fourth proportional to 9,109.40, 13,664.10 and 8,015.90 is: 12,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.40 : 13,664.10 = 8,015.90 : x
  2. Step 2: Convert to fraction form
    9,109.40/13,664.10 = 8,015.90/x
  3. Step 3: Cross multiply
    9,109.40x = 13,664.10 × 8,015.90
  4. Step 4: Simplify right side
    9,109.40x = 109,530,059.19
  5. Step 5: Solve for x
    x = 109,530,059.19/9,109.40
  6. Step 6: Final answer
    x = 12,023.85

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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.