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Finding the Fourth Proportional to 9,891.74, 14,832.83 and 3,654.69

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Solution

The fourth proportional to 9,891.74, 14,832.83 and 3,654.69 is: 5,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.74 : 14,832.83 = 3,654.69 : x
  2. Step 2: Convert to fraction form
    9,891.74/14,832.83 = 3,654.69/x
  3. Step 3: Cross multiply
    9,891.74x = 14,832.83 × 3,654.69
  4. Step 4: Simplify right side
    9,891.74x = 54,209,395.47
  5. Step 5: Solve for x
    x = 54,209,395.47/9,891.74
  6. Step 6: Final answer
    x = 5,480.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.