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Finding the Fourth Proportional to 9,662.75, 14,499.60 and 4,115.52

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Solution

The fourth proportional to 9,662.75, 14,499.60 and 4,115.52 is: 6,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.75 : 14,499.60 = 4,115.52 : x
  2. Step 2: Convert to fraction form
    9,662.75/14,499.60 = 4,115.52/x
  3. Step 3: Cross multiply
    9,662.75x = 14,499.60 × 4,115.52
  4. Step 4: Simplify right side
    9,662.75x = 59,673,393.79
  5. Step 5: Solve for x
    x = 59,673,393.79/9,662.75
  6. Step 6: Final answer
    x = 6,175.61

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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.