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Finding the Fourth Proportional to 9,679.66, 14,506.73 and 3,833.08

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Solution

The fourth proportional to 9,679.66, 14,506.73 and 3,833.08 is: 5,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.66 : 14,506.73 = 3,833.08 : x
  2. Step 2: Convert to fraction form
    9,679.66/14,506.73 = 3,833.08/x
  3. Step 3: Cross multiply
    9,679.66x = 14,506.73 × 3,833.08
  4. Step 4: Simplify right side
    9,679.66x = 55,605,415.57
  5. Step 5: Solve for x
    x = 55,605,415.57/9,679.66
  6. Step 6: Final answer
    x = 5,744.56

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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.