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Finding the Fourth Proportional to 9,244.96, 13,850.16 and 7,205.92

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Solution

The fourth proportional to 9,244.96, 13,850.16 and 7,205.92 is: 10,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.96 : 13,850.16 = 7,205.92 : x
  2. Step 2: Convert to fraction form
    9,244.96/13,850.16 = 7,205.92/x
  3. Step 3: Cross multiply
    9,244.96x = 13,850.16 × 7,205.92
  4. Step 4: Simplify right side
    9,244.96x = 99,803,144.95
  5. Step 5: Solve for x
    x = 99,803,144.95/9,244.96
  6. Step 6: Final answer
    x = 10,795.41

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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.