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Finding the Fourth Proportional to 6,463.44, 9,684.36 and 6,220.44

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Solution

The fourth proportional to 6,463.44, 9,684.36 and 6,220.44 is: 9,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.44 : 9,684.36 = 6,220.44 : x
  2. Step 2: Convert to fraction form
    6,463.44/9,684.36 = 6,220.44/x
  3. Step 3: Cross multiply
    6,463.44x = 9,684.36 × 6,220.44
  4. Step 4: Simplify right side
    6,463.44x = 60,240,980.32
  5. Step 5: Solve for x
    x = 60,240,980.32/6,463.44
  6. Step 6: Final answer
    x = 9,320.27

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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.