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Finding the Fourth Proportional to 9,233.67, 13,850.55 and 3,077.67

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Solution

The fourth proportional to 9,233.67, 13,850.55 and 3,077.67 is: 4,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.67 : 13,850.55 = 3,077.67 : x
  2. Step 2: Convert to fraction form
    9,233.67/13,850.55 = 3,077.67/x
  3. Step 3: Cross multiply
    9,233.67x = 13,850.55 × 3,077.67
  4. Step 4: Simplify right side
    9,233.67x = 42,627,422.22
  5. Step 5: Solve for x
    x = 42,627,422.22/9,233.67
  6. Step 6: Final answer
    x = 4,616.52

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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.