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Finding the Fourth Proportional to 9,760.17, 14,556.78 and 8,289

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Solution

The fourth proportional to 9,760.17, 14,556.78 and 8,289 is: 12,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.17 : 14,556.78 = 8,289 : x
  2. Step 2: Convert to fraction form
    9,760.17/14,556.78 = 8,289/x
  3. Step 3: Cross multiply
    9,760.17x = 14,556.78 × 8,289
  4. Step 4: Simplify right side
    9,760.17x = 120,661,149.42
  5. Step 5: Solve for x
    x = 120,661,149.42/9,760.17
  6. Step 6: Final answer
    x = 12,362.61

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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.