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Finding the Fourth Proportional to 9,021.72, 13,534.02 and 2,780.22

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Solution

The fourth proportional to 9,021.72, 13,534.02 and 2,780.22 is: 4,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.72 : 13,534.02 = 2,780.22 : x
  2. Step 2: Convert to fraction form
    9,021.72/13,534.02 = 2,780.22/x
  3. Step 3: Cross multiply
    9,021.72x = 13,534.02 × 2,780.22
  4. Step 4: Simplify right side
    9,021.72x = 37,627,553.08
  5. Step 5: Solve for x
    x = 37,627,553.08/9,021.72
  6. Step 6: Final answer
    x = 4,170.77

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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.