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Finding the Fourth Proportional to 9,089.71, 13,634.87 and 2,426.14

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Solution

The fourth proportional to 9,089.71, 13,634.87 and 2,426.14 is: 3,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.71 : 13,634.87 = 2,426.14 : x
  2. Step 2: Convert to fraction form
    9,089.71/13,634.87 = 2,426.14/x
  3. Step 3: Cross multiply
    9,089.71x = 13,634.87 × 2,426.14
  4. Step 4: Simplify right side
    9,089.71x = 33,080,103.50
  5. Step 5: Solve for x
    x = 33,080,103.50/9,089.71
  6. Step 6: Final answer
    x = 3,639.29

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Why These Related Problems?

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