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Finding the Fourth Proportional to 9,202.17, 12,698.60 and 5,223.20

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Solution

The fourth proportional to 9,202.17, 12,698.60 and 5,223.20 is: 7,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.17 : 12,698.60 = 5,223.20 : x
  2. Step 2: Convert to fraction form
    9,202.17/12,698.60 = 5,223.20/x
  3. Step 3: Cross multiply
    9,202.17x = 12,698.60 × 5,223.20
  4. Step 4: Simplify right side
    9,202.17x = 66,327,327.52
  5. Step 5: Solve for x
    x = 66,327,327.52/9,202.17
  6. Step 6: Final answer
    x = 7,207.79

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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.