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Finding the Fourth Proportional to 6,599.78, 9,107.67 and 3,615.80

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Solution

The fourth proportional to 6,599.78, 9,107.67 and 3,615.80 is: 4,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.78 : 9,107.67 = 3,615.80 : x
  2. Step 2: Convert to fraction form
    6,599.78/9,107.67 = 3,615.80/x
  3. Step 3: Cross multiply
    6,599.78x = 9,107.67 × 3,615.80
  4. Step 4: Simplify right side
    6,599.78x = 32,931,513.19
  5. Step 5: Solve for x
    x = 32,931,513.19/6,599.78
  6. Step 6: Final answer
    x = 4,989.79

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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.