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Finding the Fourth Proportional to 6,599.82, 9,107.76 and 3,615.66

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Solution

The fourth proportional to 6,599.82, 9,107.76 and 3,615.66 is: 4,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.82 : 9,107.76 = 3,615.66 : x
  2. Step 2: Convert to fraction form
    6,599.82/9,107.76 = 3,615.66/x
  3. Step 3: Cross multiply
    6,599.82x = 9,107.76 × 3,615.66
  4. Step 4: Simplify right side
    6,599.82x = 32,930,563.52
  5. Step 5: Solve for x
    x = 32,930,563.52/6,599.82
  6. Step 6: Final answer
    x = 4,989.62

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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.