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Finding the Fourth Proportional to 7,186.89, 9,918 and 4,202.04

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Solution

The fourth proportional to 7,186.89, 9,918 and 4,202.04 is: 5,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.89 : 9,918 = 4,202.04 : x
  2. Step 2: Convert to fraction form
    7,186.89/9,918 = 4,202.04/x
  3. Step 3: Cross multiply
    7,186.89x = 9,918 × 4,202.04
  4. Step 4: Simplify right side
    7,186.89x = 41,675,832.72
  5. Step 5: Solve for x
    x = 41,675,832.72/7,186.89
  6. Step 6: Final answer
    x = 5,798.87

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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.