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Finding the Fourth Proportional to 6,175.89, 9,261.47 and 3,054.83

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Solution

The fourth proportional to 6,175.89, 9,261.47 and 3,054.83 is: 4,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.89 : 9,261.47 = 3,054.83 : x
  2. Step 2: Convert to fraction form
    6,175.89/9,261.47 = 3,054.83/x
  3. Step 3: Cross multiply
    6,175.89x = 9,261.47 × 3,054.83
  4. Step 4: Simplify right side
    6,175.89x = 28,292,177.73
  5. Step 5: Solve for x
    x = 28,292,177.73/6,175.89
  6. Step 6: Final answer
    x = 4,581.07

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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.