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Finding the Fourth Proportional to 9,946.22, 14,922.93 and 9,027.68

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Solution

The fourth proportional to 9,946.22, 14,922.93 and 9,027.68 is: 13,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.22 : 14,922.93 = 9,027.68 : x
  2. Step 2: Convert to fraction form
    9,946.22/14,922.93 = 9,027.68/x
  3. Step 3: Cross multiply
    9,946.22x = 14,922.93 × 9,027.68
  4. Step 4: Simplify right side
    9,946.22x = 134,719,436.70
  5. Step 5: Solve for x
    x = 134,719,436.70/9,946.22
  6. Step 6: Final answer
    x = 13,544.79

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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.