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Finding the Fourth Proportional to 9,500.30, 13,107.51 and 5,520.65

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Solution

The fourth proportional to 9,500.30, 13,107.51 and 5,520.65 is: 7,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.30 : 13,107.51 = 5,520.65 : x
  2. Step 2: Convert to fraction form
    9,500.30/13,107.51 = 5,520.65/x
  3. Step 3: Cross multiply
    9,500.30x = 13,107.51 × 5,520.65
  4. Step 4: Simplify right side
    9,500.30x = 72,361,975.08
  5. Step 5: Solve for x
    x = 72,361,975.08/9,500.30
  6. Step 6: Final answer
    x = 7,616.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.