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Finding the Fourth Proportional to 6,463.36, 9,668.22 and 6,069.70

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Solution

The fourth proportional to 6,463.36, 9,668.22 and 6,069.70 is: 9,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.36 : 9,668.22 = 6,069.70 : x
  2. Step 2: Convert to fraction form
    6,463.36/9,668.22 = 6,069.70/x
  3. Step 3: Cross multiply
    6,463.36x = 9,668.22 × 6,069.70
  4. Step 4: Simplify right side
    6,463.36x = 58,683,194.93
  5. Step 5: Solve for x
    x = 58,683,194.93/6,463.36
  6. Step 6: Final answer
    x = 9,079.36

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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.