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Finding the Fourth Proportional to 9,202.02, 13,801.09 and 2,962.59

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Solution

The fourth proportional to 9,202.02, 13,801.09 and 2,962.59 is: 4,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.02 : 13,801.09 = 2,962.59 : x
  2. Step 2: Convert to fraction form
    9,202.02/13,801.09 = 2,962.59/x
  3. Step 3: Cross multiply
    9,202.02x = 13,801.09 × 2,962.59
  4. Step 4: Simplify right side
    9,202.02x = 40,886,971.22
  5. Step 5: Solve for x
    x = 40,886,971.22/9,202.02
  6. Step 6: Final answer
    x = 4,443.26

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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.