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Finding the Fourth Proportional to 9,202.34, 12,695.89 and 5,221.15

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Solution

The fourth proportional to 9,202.34, 12,695.89 and 5,221.15 is: 7,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.34 : 12,695.89 = 5,221.15 : x
  2. Step 2: Convert to fraction form
    9,202.34/12,695.89 = 5,221.15/x
  3. Step 3: Cross multiply
    9,202.34x = 12,695.89 × 5,221.15
  4. Step 4: Simplify right side
    9,202.34x = 66,287,118.04
  5. Step 5: Solve for x
    x = 66,287,118.04/9,202.34
  6. Step 6: Final answer
    x = 7,203.29

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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.