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Finding the Fourth Proportional to 9,682.33, 14,521.65 and 3,759.22

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Solution

The fourth proportional to 9,682.33, 14,521.65 and 3,759.22 is: 5,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.33 : 14,521.65 = 3,759.22 : x
  2. Step 2: Convert to fraction form
    9,682.33/14,521.65 = 3,759.22/x
  3. Step 3: Cross multiply
    9,682.33x = 14,521.65 × 3,759.22
  4. Step 4: Simplify right side
    9,682.33x = 54,590,077.11
  5. Step 5: Solve for x
    x = 54,590,077.11/9,682.33
  6. Step 6: Final answer
    x = 5,638.11

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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.