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Finding the Fourth Proportional to 9,262.68, 13,894.16 and 3,022.67

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Solution

The fourth proportional to 9,262.68, 13,894.16 and 3,022.67 is: 4,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.68 : 13,894.16 = 3,022.67 : x
  2. Step 2: Convert to fraction form
    9,262.68/13,894.16 = 3,022.67/x
  3. Step 3: Cross multiply
    9,262.68x = 13,894.16 × 3,022.67
  4. Step 4: Simplify right side
    9,262.68x = 41,997,376.02
  5. Step 5: Solve for x
    x = 41,997,376.02/9,262.68
  6. Step 6: Final answer
    x = 4,534.04

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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.