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Finding the Fourth Proportional to 6,309.23, 8,706.69 and 3,658.14

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Solution

The fourth proportional to 6,309.23, 8,706.69 and 3,658.14 is: 5,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.23 : 8,706.69 = 3,658.14 : x
  2. Step 2: Convert to fraction form
    6,309.23/8,706.69 = 3,658.14/x
  3. Step 3: Cross multiply
    6,309.23x = 8,706.69 × 3,658.14
  4. Step 4: Simplify right side
    6,309.23x = 31,850,290.96
  5. Step 5: Solve for x
    x = 31,850,290.96/6,309.23
  6. Step 6: Final answer
    x = 5,048.21

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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.