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Finding the Fourth Proportional to 9,233.99, 13,853.19 and 2,994.02

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Solution

The fourth proportional to 9,233.99, 13,853.19 and 2,994.02 is: 4,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.99 : 13,853.19 = 2,994.02 : x
  2. Step 2: Convert to fraction form
    9,233.99/13,853.19 = 2,994.02/x
  3. Step 3: Cross multiply
    9,233.99x = 13,853.19 × 2,994.02
  4. Step 4: Simplify right side
    9,233.99x = 41,476,721.83
  5. Step 5: Solve for x
    x = 41,476,721.83/9,233.99
  6. Step 6: Final answer
    x = 4,491.74

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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.