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Finding the Fourth Proportional to 9,233.44, 13,850.16 and 2,307.94

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Solution

The fourth proportional to 9,233.44, 13,850.16 and 2,307.94 is: 3,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.44 : 13,850.16 = 2,307.94 : x
  2. Step 2: Convert to fraction form
    9,233.44/13,850.16 = 2,307.94/x
  3. Step 3: Cross multiply
    9,233.44x = 13,850.16 × 2,307.94
  4. Step 4: Simplify right side
    9,233.44x = 31,965,294.99
  5. Step 5: Solve for x
    x = 31,965,294.99/9,233.44
  6. Step 6: Final answer
    x = 3,461.91

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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.