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Finding the Fourth Proportional to 9,922.92, 13,693.18 and 5,946.24

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Solution

The fourth proportional to 9,922.92, 13,693.18 and 5,946.24 is: 8,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.92 : 13,693.18 = 5,946.24 : x
  2. Step 2: Convert to fraction form
    9,922.92/13,693.18 = 5,946.24/x
  3. Step 3: Cross multiply
    9,922.92x = 13,693.18 × 5,946.24
  4. Step 4: Simplify right side
    9,922.92x = 81,422,934.64
  5. Step 5: Solve for x
    x = 81,422,934.64/9,922.92
  6. Step 6: Final answer
    x = 8,205.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.