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Finding the Fourth Proportional to 6,806.06, 9,392.83 and 4,153.92

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Solution

The fourth proportional to 6,806.06, 9,392.83 and 4,153.92 is: 5,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.06 : 9,392.83 = 4,153.92 : x
  2. Step 2: Convert to fraction form
    6,806.06/9,392.83 = 4,153.92/x
  3. Step 3: Cross multiply
    6,806.06x = 9,392.83 × 4,153.92
  4. Step 4: Simplify right side
    6,806.06x = 39,017,018.79
  5. Step 5: Solve for x
    x = 39,017,018.79/6,806.06
  6. Step 6: Final answer
    x = 5,732.69

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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.