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Finding the Fourth Proportional to 9,855.53, 14,766.79 and 6,928.59

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Solution

The fourth proportional to 9,855.53, 14,766.79 and 6,928.59 is: 10,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.53 : 14,766.79 = 6,928.59 : x
  2. Step 2: Convert to fraction form
    9,855.53/14,766.79 = 6,928.59/x
  3. Step 3: Cross multiply
    9,855.53x = 14,766.79 × 6,928.59
  4. Step 4: Simplify right side
    9,855.53x = 102,313,033.53
  5. Step 5: Solve for x
    x = 102,313,033.53/9,855.53
  6. Step 6: Final answer
    x = 10,381.28

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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.