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Finding the Fourth Proportional to 9,451.08, 13,042.20 and 5,202.24

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Solution

The fourth proportional to 9,451.08, 13,042.20 and 5,202.24 is: 7,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.08 : 13,042.20 = 5,202.24 : x
  2. Step 2: Convert to fraction form
    9,451.08/13,042.20 = 5,202.24/x
  3. Step 3: Cross multiply
    9,451.08x = 13,042.20 × 5,202.24
  4. Step 4: Simplify right side
    9,451.08x = 67,848,654.53
  5. Step 5: Solve for x
    x = 67,848,654.53/9,451.08
  6. Step 6: Final answer
    x = 7,178.93

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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.