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Finding the Fourth Proportional to 6,002.73, 8,294.27 and 4,321.17

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Solution

The fourth proportional to 6,002.73, 8,294.27 and 4,321.17 is: 5,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.73 : 8,294.27 = 4,321.17 : x
  2. Step 2: Convert to fraction form
    6,002.73/8,294.27 = 4,321.17/x
  3. Step 3: Cross multiply
    6,002.73x = 8,294.27 × 4,321.17
  4. Step 4: Simplify right side
    6,002.73x = 35,840,929.09
  5. Step 5: Solve for x
    x = 35,840,929.09/6,002.73
  6. Step 6: Final answer
    x = 5,970.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.