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Finding the Fourth Proportional to 6,204.36, 8,570.73 and 5,643.84

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Solution

The fourth proportional to 6,204.36, 8,570.73 and 5,643.84 is: 7,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.36 : 8,570.73 = 5,643.84 : x
  2. Step 2: Convert to fraction form
    6,204.36/8,570.73 = 5,643.84/x
  3. Step 3: Cross multiply
    6,204.36x = 8,570.73 × 5,643.84
  4. Step 4: Simplify right side
    6,204.36x = 48,371,800.58
  5. Step 5: Solve for x
    x = 48,371,800.58/6,204.36
  6. Step 6: Final answer
    x = 7,796.42

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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.