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Finding the Fourth Proportional to 9,202.62, 12,702.54 and 5,226.42

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Solution

The fourth proportional to 9,202.62, 12,702.54 and 5,226.42 is: 7,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.62 : 12,702.54 = 5,226.42 : x
  2. Step 2: Convert to fraction form
    9,202.62/12,702.54 = 5,226.42/x
  3. Step 3: Cross multiply
    9,202.62x = 12,702.54 × 5,226.42
  4. Step 4: Simplify right side
    9,202.62x = 66,388,809.11
  5. Step 5: Solve for x
    x = 66,388,809.11/9,202.62
  6. Step 6: Final answer
    x = 7,214.12

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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.