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Finding the Fourth Proportional to 9,241.04, 13,871.92 and 3,698.24

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Solution

The fourth proportional to 9,241.04, 13,871.92 and 3,698.24 is: 5,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.04 : 13,871.92 = 3,698.24 : x
  2. Step 2: Convert to fraction form
    9,241.04/13,871.92 = 3,698.24/x
  3. Step 3: Cross multiply
    9,241.04x = 13,871.92 × 3,698.24
  4. Step 4: Simplify right side
    9,241.04x = 51,301,759.50
  5. Step 5: Solve for x
    x = 51,301,759.50/9,241.04
  6. Step 6: Final answer
    x = 5,551.52

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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.