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Finding the Fourth Proportional to 9,836.78, 13,574.47 and 5,859.66

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Solution

The fourth proportional to 9,836.78, 13,574.47 and 5,859.66 is: 8,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.78 : 13,574.47 = 5,859.66 : x
  2. Step 2: Convert to fraction form
    9,836.78/13,574.47 = 5,859.66/x
  3. Step 3: Cross multiply
    9,836.78x = 13,574.47 × 5,859.66
  4. Step 4: Simplify right side
    9,836.78x = 79,541,778.88
  5. Step 5: Solve for x
    x = 79,541,778.88/9,836.78
  6. Step 6: Final answer
    x = 8,086.16

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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.