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Finding the Fourth Proportional to 9,219.77, 13,829.70 and 2,294.27

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Solution

The fourth proportional to 9,219.77, 13,829.70 and 2,294.27 is: 3,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.77 : 13,829.70 = 2,294.27 : x
  2. Step 2: Convert to fraction form
    9,219.77/13,829.70 = 2,294.27/x
  3. Step 3: Cross multiply
    9,219.77x = 13,829.70 × 2,294.27
  4. Step 4: Simplify right side
    9,219.77x = 31,729,065.82
  5. Step 5: Solve for x
    x = 31,729,065.82/9,219.77
  6. Step 6: Final answer
    x = 3,441.42

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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.