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Finding the Fourth Proportional to 6,295.02, 9,437.40 and 3,171.30

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Solution

The fourth proportional to 6,295.02, 9,437.40 and 3,171.30 is: 4,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.02 : 9,437.40 = 3,171.30 : x
  2. Step 2: Convert to fraction form
    6,295.02/9,437.40 = 3,171.30/x
  3. Step 3: Cross multiply
    6,295.02x = 9,437.40 × 3,171.30
  4. Step 4: Simplify right side
    6,295.02x = 29,928,826.62
  5. Step 5: Solve for x
    x = 29,928,826.62/6,295.02
  6. Step 6: Final answer
    x = 4,754.37

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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.