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Finding the Fourth Proportional to 9,202.80, 13,804.20 and 7,129.20

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Solution

The fourth proportional to 9,202.80, 13,804.20 and 7,129.20 is: 10,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.80 : 13,804.20 = 7,129.20 : x
  2. Step 2: Convert to fraction form
    9,202.80/13,804.20 = 7,129.20/x
  3. Step 3: Cross multiply
    9,202.80x = 13,804.20 × 7,129.20
  4. Step 4: Simplify right side
    9,202.80x = 98,412,902.64
  5. Step 5: Solve for x
    x = 98,412,902.64/9,202.80
  6. Step 6: Final answer
    x = 10,693.80

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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.