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Finding the Fourth Proportional to 6,845.94, 10,286.22 and 6,569.16

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Solution

The fourth proportional to 6,845.94, 10,286.22 and 6,569.16 is: 9,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.94 : 10,286.22 = 6,569.16 : x
  2. Step 2: Convert to fraction form
    6,845.94/10,286.22 = 6,569.16/x
  3. Step 3: Cross multiply
    6,845.94x = 10,286.22 × 6,569.16
  4. Step 4: Simplify right side
    6,845.94x = 67,571,824.98
  5. Step 5: Solve for x
    x = 67,571,824.98/6,845.94
  6. Step 6: Final answer
    x = 9,870.35

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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.