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Finding the Fourth Proportional to 9,228.83, 13,843.47 and 3,306.13

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Solution

The fourth proportional to 9,228.83, 13,843.47 and 3,306.13 is: 4,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.83 : 13,843.47 = 3,306.13 : x
  2. Step 2: Convert to fraction form
    9,228.83/13,843.47 = 3,306.13/x
  3. Step 3: Cross multiply
    9,228.83x = 13,843.47 × 3,306.13
  4. Step 4: Simplify right side
    9,228.83x = 45,768,225.72
  5. Step 5: Solve for x
    x = 45,768,225.72/9,228.83
  6. Step 6: Final answer
    x = 4,959.27

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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.