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Finding the Fourth Proportional to 9,089.21, 13,619.14 and 7,631.21

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Solution

The fourth proportional to 9,089.21, 13,619.14 and 7,631.21 is: 11,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.21 : 13,619.14 = 7,631.21 : x
  2. Step 2: Convert to fraction form
    9,089.21/13,619.14 = 7,631.21/x
  3. Step 3: Cross multiply
    9,089.21x = 13,619.14 × 7,631.21
  4. Step 4: Simplify right side
    9,089.21x = 103,930,532.33
  5. Step 5: Solve for x
    x = 103,930,532.33/9,089.21
  6. Step 6: Final answer
    x = 11,434.49

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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.