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Finding the Fourth Proportional to 6,599.40, 9,107.16 and 3,615.42

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Solution

The fourth proportional to 6,599.40, 9,107.16 and 3,615.42 is: 4,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.40 : 9,107.16 = 3,615.42 : x
  2. Step 2: Convert to fraction form
    6,599.40/9,107.16 = 3,615.42/x
  3. Step 3: Cross multiply
    6,599.40x = 9,107.16 × 3,615.42
  4. Step 4: Simplify right side
    6,599.40x = 32,926,208.41
  5. Step 5: Solve for x
    x = 32,926,208.41/6,599.40
  6. Step 6: Final answer
    x = 4,989.27

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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.