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Finding the Fourth Proportional to 9,563.82, 13,193.19 and 6,208.53

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Solution

The fourth proportional to 9,563.82, 13,193.19 and 6,208.53 is: 8,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.82 : 13,193.19 = 6,208.53 : x
  2. Step 2: Convert to fraction form
    9,563.82/13,193.19 = 6,208.53/x
  3. Step 3: Cross multiply
    9,563.82x = 13,193.19 × 6,208.53
  4. Step 4: Simplify right side
    9,563.82x = 81,910,315.91
  5. Step 5: Solve for x
    x = 81,910,315.91/9,563.82
  6. Step 6: Final answer
    x = 8,564.60

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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.