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Finding the Fourth Proportional to 9,228.47, 13,841.01 and 3,964.41

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Solution

The fourth proportional to 9,228.47, 13,841.01 and 3,964.41 is: 5,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.47 : 13,841.01 = 3,964.41 : x
  2. Step 2: Convert to fraction form
    9,228.47/13,841.01 = 3,964.41/x
  3. Step 3: Cross multiply
    9,228.47x = 13,841.01 × 3,964.41
  4. Step 4: Simplify right side
    9,228.47x = 54,871,438.45
  5. Step 5: Solve for x
    x = 54,871,438.45/9,228.47
  6. Step 6: Final answer
    x = 5,945.89

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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.