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Finding the Fourth Proportional to 6,261.12, 9,394.32 and 3,144

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Solution

The fourth proportional to 6,261.12, 9,394.32 and 3,144 is: 4,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.12 : 9,394.32 = 3,144 : x
  2. Step 2: Convert to fraction form
    6,261.12/9,394.32 = 3,144/x
  3. Step 3: Cross multiply
    6,261.12x = 9,394.32 × 3,144
  4. Step 4: Simplify right side
    6,261.12x = 29,535,742.08
  5. Step 5: Solve for x
    x = 29,535,742.08/6,261.12
  6. Step 6: Final answer
    x = 4,717.33

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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.