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Finding the Fourth Proportional to 9,382.83, 14,069.04 and 3,840.06

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Solution

The fourth proportional to 9,382.83, 14,069.04 and 3,840.06 is: 5,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.83 : 14,069.04 = 3,840.06 : x
  2. Step 2: Convert to fraction form
    9,382.83/14,069.04 = 3,840.06/x
  3. Step 3: Cross multiply
    9,382.83x = 14,069.04 × 3,840.06
  4. Step 4: Simplify right side
    9,382.83x = 54,025,957.74
  5. Step 5: Solve for x
    x = 54,025,957.74/9,382.83
  6. Step 6: Final answer
    x = 5,757.96

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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.