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Finding the Fourth Proportional to 9,760.02, 14,557.78 and 8,181.73

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Solution

The fourth proportional to 9,760.02, 14,557.78 and 8,181.73 is: 12,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.02 : 14,557.78 = 8,181.73 : x
  2. Step 2: Convert to fraction form
    9,760.02/14,557.78 = 8,181.73/x
  3. Step 3: Cross multiply
    9,760.02x = 14,557.78 × 8,181.73
  4. Step 4: Simplify right side
    9,760.02x = 119,107,825.36
  5. Step 5: Solve for x
    x = 119,107,825.36/9,760.02
  6. Step 6: Final answer
    x = 12,203.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.