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Finding the Fourth Proportional to 9,107.92, 13,659.52 and 3,263.68

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Solution

The fourth proportional to 9,107.92, 13,659.52 and 3,263.68 is: 4,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.92 : 13,659.52 = 3,263.68 : x
  2. Step 2: Convert to fraction form
    9,107.92/13,659.52 = 3,263.68/x
  3. Step 3: Cross multiply
    9,107.92x = 13,659.52 × 3,263.68
  4. Step 4: Simplify right side
    9,107.92x = 44,580,302.23
  5. Step 5: Solve for x
    x = 44,580,302.23/9,107.92
  6. Step 6: Final answer
    x = 4,894.67

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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.