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Finding the Fourth Proportional to 9,086.61, 12,536.49 and 5,106.87

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Solution

The fourth proportional to 9,086.61, 12,536.49 and 5,106.87 is: 7,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.61 : 12,536.49 = 5,106.87 : x
  2. Step 2: Convert to fraction form
    9,086.61/12,536.49 = 5,106.87/x
  3. Step 3: Cross multiply
    9,086.61x = 12,536.49 × 5,106.87
  4. Step 4: Simplify right side
    9,086.61x = 64,022,224.69
  5. Step 5: Solve for x
    x = 64,022,224.69/9,086.61
  6. Step 6: Final answer
    x = 7,045.78

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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.