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Finding the Fourth Proportional to 9,233.90, 13,851.80 and 2,993.66

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Solution

The fourth proportional to 9,233.90, 13,851.80 and 2,993.66 is: 4,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.90 : 13,851.80 = 2,993.66 : x
  2. Step 2: Convert to fraction form
    9,233.90/13,851.80 = 2,993.66/x
  3. Step 3: Cross multiply
    9,233.90x = 13,851.80 × 2,993.66
  4. Step 4: Simplify right side
    9,233.90x = 41,467,495.36
  5. Step 5: Solve for x
    x = 41,467,495.36/9,233.90
  6. Step 6: Final answer
    x = 4,490.79

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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.