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Finding the Fourth Proportional to 9,806.19, 14,708.94 and 3,232.20

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Solution

The fourth proportional to 9,806.19, 14,708.94 and 3,232.20 is: 4,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.19 : 14,708.94 = 3,232.20 : x
  2. Step 2: Convert to fraction form
    9,806.19/14,708.94 = 3,232.20/x
  3. Step 3: Cross multiply
    9,806.19x = 14,708.94 × 3,232.20
  4. Step 4: Simplify right side
    9,806.19x = 47,542,297.09
  5. Step 5: Solve for x
    x = 47,542,297.09/9,806.19
  6. Step 6: Final answer
    x = 4,848.19

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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.