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Finding the Fourth Proportional to 6,309.06, 9,471.95 and 5,390.52

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Solution

The fourth proportional to 6,309.06, 9,471.95 and 5,390.52 is: 8,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.06 : 9,471.95 = 5,390.52 : x
  2. Step 2: Convert to fraction form
    6,309.06/9,471.95 = 5,390.52/x
  3. Step 3: Cross multiply
    6,309.06x = 9,471.95 × 5,390.52
  4. Step 4: Simplify right side
    6,309.06x = 51,058,735.91
  5. Step 5: Solve for x
    x = 51,058,735.91/6,309.06
  6. Step 6: Final answer
    x = 8,092.92

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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.