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Finding the Fourth Proportional to 9,805.80, 13,525.16 and 6,447.54

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Solution

The fourth proportional to 9,805.80, 13,525.16 and 6,447.54 is: 8,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.80 : 13,525.16 = 6,447.54 : x
  2. Step 2: Convert to fraction form
    9,805.80/13,525.16 = 6,447.54/x
  3. Step 3: Cross multiply
    9,805.80x = 13,525.16 × 6,447.54
  4. Step 4: Simplify right side
    9,805.80x = 87,204,010.11
  5. Step 5: Solve for x
    x = 87,204,010.11/9,805.80
  6. Step 6: Final answer
    x = 8,893.11

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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.