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Finding the Fourth Proportional to 9,202.14, 13,801.28 and 2,962.72

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Solution

The fourth proportional to 9,202.14, 13,801.28 and 2,962.72 is: 4,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.14 : 13,801.28 = 2,962.72 : x
  2. Step 2: Convert to fraction form
    9,202.14/13,801.28 = 2,962.72/x
  3. Step 3: Cross multiply
    9,202.14x = 13,801.28 × 2,962.72
  4. Step 4: Simplify right side
    9,202.14x = 40,889,328.28
  5. Step 5: Solve for x
    x = 40,889,328.28/9,202.14
  6. Step 6: Final answer
    x = 4,443.46

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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.