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Finding the Fourth Proportional to 9,083.86, 12,535.76 and 5,105

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Solution

The fourth proportional to 9,083.86, 12,535.76 and 5,105 is: 7,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.86 : 12,535.76 = 5,105 : x
  2. Step 2: Convert to fraction form
    9,083.86/12,535.76 = 5,105/x
  3. Step 3: Cross multiply
    9,083.86x = 12,535.76 × 5,105
  4. Step 4: Simplify right side
    9,083.86x = 63,995,054.80
  5. Step 5: Solve for x
    x = 63,995,054.80/9,083.86
  6. Step 6: Final answer
    x = 7,044.92

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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.