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Finding the Fourth Proportional to 9,923.31, 14,884.44 and 2,527.32

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Solution

The fourth proportional to 9,923.31, 14,884.44 and 2,527.32 is: 3,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.31 : 14,884.44 = 2,527.32 : x
  2. Step 2: Convert to fraction form
    9,923.31/14,884.44 = 2,527.32/x
  3. Step 3: Cross multiply
    9,923.31x = 14,884.44 × 2,527.32
  4. Step 4: Simplify right side
    9,923.31x = 37,617,719.73
  5. Step 5: Solve for x
    x = 37,617,719.73/9,923.31
  6. Step 6: Final answer
    x = 3,790.84

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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.