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Finding the Fourth Proportional to 6,380.26, 9,572.31 and 4,054.66

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Solution

The fourth proportional to 6,380.26, 9,572.31 and 4,054.66 is: 6,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.26 : 9,572.31 = 4,054.66 : x
  2. Step 2: Convert to fraction form
    6,380.26/9,572.31 = 4,054.66/x
  3. Step 3: Cross multiply
    6,380.26x = 9,572.31 × 4,054.66
  4. Step 4: Simplify right side
    6,380.26x = 38,812,462.46
  5. Step 5: Solve for x
    x = 38,812,462.46/6,380.26
  6. Step 6: Final answer
    x = 6,083.21

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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.