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Finding the Fourth Proportional to 9,222.93, 13,832.95 and 3,378.17

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Solution

The fourth proportional to 9,222.93, 13,832.95 and 3,378.17 is: 5,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.93 : 13,832.95 = 3,378.17 : x
  2. Step 2: Convert to fraction form
    9,222.93/13,832.95 = 3,378.17/x
  3. Step 3: Cross multiply
    9,222.93x = 13,832.95 × 3,378.17
  4. Step 4: Simplify right side
    9,222.93x = 46,730,056.70
  5. Step 5: Solve for x
    x = 46,730,056.70/9,222.93
  6. Step 6: Final answer
    x = 5,066.73

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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.