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Finding the Fourth Proportional to 9,794.72, 13,511.41 and 6,203.18

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Solution

The fourth proportional to 9,794.72, 13,511.41 and 6,203.18 is: 8,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.72 : 13,511.41 = 6,203.18 : x
  2. Step 2: Convert to fraction form
    9,794.72/13,511.41 = 6,203.18/x
  3. Step 3: Cross multiply
    9,794.72x = 13,511.41 × 6,203.18
  4. Step 4: Simplify right side
    9,794.72x = 83,813,726.55
  5. Step 5: Solve for x
    x = 83,813,726.55/9,794.72
  6. Step 6: Final answer
    x = 8,557.03

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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.