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Finding the Fourth Proportional to 9,215.50, 13,821.19 and 4,471.50

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Solution

The fourth proportional to 9,215.50, 13,821.19 and 4,471.50 is: 6,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.50 : 13,821.19 = 4,471.50 : x
  2. Step 2: Convert to fraction form
    9,215.50/13,821.19 = 4,471.50/x
  3. Step 3: Cross multiply
    9,215.50x = 13,821.19 × 4,471.50
  4. Step 4: Simplify right side
    9,215.50x = 61,801,451.09
  5. Step 5: Solve for x
    x = 61,801,451.09/9,215.50
  6. Step 6: Final answer
    x = 6,706.25

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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.