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Finding the Fourth Proportional to 6,111.54, 9,167.34 and 1,494.54

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Solution

The fourth proportional to 6,111.54, 9,167.34 and 1,494.54 is: 2,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.54 : 9,167.34 = 1,494.54 : x
  2. Step 2: Convert to fraction form
    6,111.54/9,167.34 = 1,494.54/x
  3. Step 3: Cross multiply
    6,111.54x = 9,167.34 × 1,494.54
  4. Step 4: Simplify right side
    6,111.54x = 13,700,956.32
  5. Step 5: Solve for x
    x = 13,700,956.32/6,111.54
  6. Step 6: Final answer
    x = 2,241.82

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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.