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Finding the Fourth Proportional to 6,035.14, 9,047.02 and 3,257.64

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Solution

The fourth proportional to 6,035.14, 9,047.02 and 3,257.64 is: 4,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,035.14 : 9,047.02 = 3,257.64 : x
  2. Step 2: Convert to fraction form
    6,035.14/9,047.02 = 3,257.64/x
  3. Step 3: Cross multiply
    6,035.14x = 9,047.02 × 3,257.64
  4. Step 4: Simplify right side
    6,035.14x = 29,471,934.23
  5. Step 5: Solve for x
    x = 29,471,934.23/6,035.14
  6. Step 6: Final answer
    x = 4,883.39

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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.