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Finding the Fourth Proportional to 9,076.16, 12,514.83 and 6,553.82

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Solution

The fourth proportional to 9,076.16, 12,514.83 and 6,553.82 is: 9,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.16 : 12,514.83 = 6,553.82 : x
  2. Step 2: Convert to fraction form
    9,076.16/12,514.83 = 6,553.82/x
  3. Step 3: Cross multiply
    9,076.16x = 12,514.83 × 6,553.82
  4. Step 4: Simplify right side
    9,076.16x = 82,019,943.15
  5. Step 5: Solve for x
    x = 82,019,943.15/9,076.16
  6. Step 6: Final answer
    x = 9,036.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.