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Finding the Fourth Proportional to 6,301.39, 9,450.82 and 5,989.15

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Solution

The fourth proportional to 6,301.39, 9,450.82 and 5,989.15 is: 8,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.39 : 9,450.82 = 5,989.15 : x
  2. Step 2: Convert to fraction form
    6,301.39/9,450.82 = 5,989.15/x
  3. Step 3: Cross multiply
    6,301.39x = 9,450.82 × 5,989.15
  4. Step 4: Simplify right side
    6,301.39x = 56,602,378.60
  5. Step 5: Solve for x
    x = 56,602,378.60/6,301.39
  6. Step 6: Final answer
    x = 8,982.52

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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.