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Finding the Fourth Proportional to 6,155, 9,202.48 and 5,241.32

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Solution

The fourth proportional to 6,155, 9,202.48 and 5,241.32 is: 7,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155 : 9,202.48 = 5,241.32 : x
  2. Step 2: Convert to fraction form
    6,155/9,202.48 = 5,241.32/x
  3. Step 3: Cross multiply
    6,155x = 9,202.48 × 5,241.32
  4. Step 4: Simplify right side
    6,155x = 48,233,142.47
  5. Step 5: Solve for x
    x = 48,233,142.47/6,155
  6. Step 6: Final answer
    x = 7,836.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.