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Finding the Fourth Proportional to 9,451.16, 13,042.62 and 5,202.07

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Solution

The fourth proportional to 9,451.16, 13,042.62 and 5,202.07 is: 7,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.16 : 13,042.62 = 5,202.07 : x
  2. Step 2: Convert to fraction form
    9,451.16/13,042.62 = 5,202.07/x
  3. Step 3: Cross multiply
    9,451.16x = 13,042.62 × 5,202.07
  4. Step 4: Simplify right side
    9,451.16x = 67,848,662.98
  5. Step 5: Solve for x
    x = 67,848,662.98/9,451.16
  6. Step 6: Final answer
    x = 7,178.87

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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.