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Finding the Fourth Proportional to 6,293.64, 9,433.98 and 3,371.16

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Solution

The fourth proportional to 6,293.64, 9,433.98 and 3,371.16 is: 5,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.64 : 9,433.98 = 3,371.16 : x
  2. Step 2: Convert to fraction form
    6,293.64/9,433.98 = 3,371.16/x
  3. Step 3: Cross multiply
    6,293.64x = 9,433.98 × 3,371.16
  4. Step 4: Simplify right side
    6,293.64x = 31,803,456.02
  5. Step 5: Solve for x
    x = 31,803,456.02/6,293.64
  6. Step 6: Final answer
    x = 5,053.27

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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.