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Finding the Fourth Proportional to 9,444.22, 14,168.02 and 3,894.48

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Solution

The fourth proportional to 9,444.22, 14,168.02 and 3,894.48 is: 5,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.22 : 14,168.02 = 3,894.48 : x
  2. Step 2: Convert to fraction form
    9,444.22/14,168.02 = 3,894.48/x
  3. Step 3: Cross multiply
    9,444.22x = 14,168.02 × 3,894.48
  4. Step 4: Simplify right side
    9,444.22x = 55,177,070.53
  5. Step 5: Solve for x
    x = 55,177,070.53/9,444.22
  6. Step 6: Final answer
    x = 5,842.42

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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.