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Finding the Fourth Proportional to 9,750.44, 14,623.83 and 3,827.08

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Solution

The fourth proportional to 9,750.44, 14,623.83 and 3,827.08 is: 5,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.44 : 14,623.83 = 3,827.08 : x
  2. Step 2: Convert to fraction form
    9,750.44/14,623.83 = 3,827.08/x
  3. Step 3: Cross multiply
    9,750.44x = 14,623.83 × 3,827.08
  4. Step 4: Simplify right side
    9,750.44x = 55,966,585.60
  5. Step 5: Solve for x
    x = 55,966,585.60/9,750.44
  6. Step 6: Final answer
    x = 5,739.90

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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.