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Finding the Fourth Proportional to 9,202.14, 12,699.45 and 5,223.78

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Solution

The fourth proportional to 9,202.14, 12,699.45 and 5,223.78 is: 7,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.14 : 12,699.45 = 5,223.78 : x
  2. Step 2: Convert to fraction form
    9,202.14/12,699.45 = 5,223.78/x
  3. Step 3: Cross multiply
    9,202.14x = 12,699.45 × 5,223.78
  4. Step 4: Simplify right side
    9,202.14x = 66,339,132.92
  5. Step 5: Solve for x
    x = 66,339,132.92/9,202.14
  6. Step 6: Final answer
    x = 7,209.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.