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Finding the Fourth Proportional to 6,294.12, 9,440.52 and 2,134.02

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Solution

The fourth proportional to 6,294.12, 9,440.52 and 2,134.02 is: 3,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.12 : 9,440.52 = 2,134.02 : x
  2. Step 2: Convert to fraction form
    6,294.12/9,440.52 = 2,134.02/x
  3. Step 3: Cross multiply
    6,294.12x = 9,440.52 × 2,134.02
  4. Step 4: Simplify right side
    6,294.12x = 20,146,258.49
  5. Step 5: Solve for x
    x = 20,146,258.49/6,294.12
  6. Step 6: Final answer
    x = 3,200.81

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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.