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Finding the Fourth Proportional to 9,680.33, 13,362.95 and 6,540.77

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Solution

The fourth proportional to 9,680.33, 13,362.95 and 6,540.77 is: 9,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.33 : 13,362.95 = 6,540.77 : x
  2. Step 2: Convert to fraction form
    9,680.33/13,362.95 = 6,540.77/x
  3. Step 3: Cross multiply
    9,680.33x = 13,362.95 × 6,540.77
  4. Step 4: Simplify right side
    9,680.33x = 87,404,032.23
  5. Step 5: Solve for x
    x = 87,404,032.23/9,680.33
  6. Step 6: Final answer
    x = 9,029.03

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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.