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Finding the Fourth Proportional to 6,150.44, 9,223.77 and 5,815.10

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Solution

The fourth proportional to 6,150.44, 9,223.77 and 5,815.10 is: 8,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.44 : 9,223.77 = 5,815.10 : x
  2. Step 2: Convert to fraction form
    6,150.44/9,223.77 = 5,815.10/x
  3. Step 3: Cross multiply
    6,150.44x = 9,223.77 × 5,815.10
  4. Step 4: Simplify right side
    6,150.44x = 53,637,144.93
  5. Step 5: Solve for x
    x = 53,637,144.93/6,150.44
  6. Step 6: Final answer
    x = 8,720.86

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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.