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Finding the Fourth Proportional to 9,911.44, 14,871.48 and 3,754

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Solution

The fourth proportional to 9,911.44, 14,871.48 and 3,754 is: 5,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.44 : 14,871.48 = 3,754 : x
  2. Step 2: Convert to fraction form
    9,911.44/14,871.48 = 3,754/x
  3. Step 3: Cross multiply
    9,911.44x = 14,871.48 × 3,754
  4. Step 4: Simplify right side
    9,911.44x = 55,827,535.92
  5. Step 5: Solve for x
    x = 55,827,535.92/9,911.44
  6. Step 6: Final answer
    x = 5,632.64

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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.