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Finding the Fourth Proportional to 9,233.80, 13,856.16 and 3,394.51

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Solution

The fourth proportional to 9,233.80, 13,856.16 and 3,394.51 is: 5,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.80 : 13,856.16 = 3,394.51 : x
  2. Step 2: Convert to fraction form
    9,233.80/13,856.16 = 3,394.51/x
  3. Step 3: Cross multiply
    9,233.80x = 13,856.16 × 3,394.51
  4. Step 4: Simplify right side
    9,233.80x = 47,034,851.77
  5. Step 5: Solve for x
    x = 47,034,851.77/9,233.80
  6. Step 6: Final answer
    x = 5,093.77

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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.