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Finding the Fourth Proportional to 9,662.24, 14,478.78 and 7,185.44

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Solution

The fourth proportional to 9,662.24, 14,478.78 and 7,185.44 is: 10,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.24 : 14,478.78 = 7,185.44 : x
  2. Step 2: Convert to fraction form
    9,662.24/14,478.78 = 7,185.44/x
  3. Step 3: Cross multiply
    9,662.24x = 14,478.78 × 7,185.44
  4. Step 4: Simplify right side
    9,662.24x = 104,036,404.96
  5. Step 5: Solve for x
    x = 104,036,404.96/9,662.24
  6. Step 6: Final answer
    x = 10,767.32

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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.