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Finding the Fourth Proportional to 6,616.21, 9,909.10 and 3,688.03

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Solution

The fourth proportional to 6,616.21, 9,909.10 and 3,688.03 is: 5,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.21 : 9,909.10 = 3,688.03 : x
  2. Step 2: Convert to fraction form
    6,616.21/9,909.10 = 3,688.03/x
  3. Step 3: Cross multiply
    6,616.21x = 9,909.10 × 3,688.03
  4. Step 4: Simplify right side
    6,616.21x = 36,545,058.07
  5. Step 5: Solve for x
    x = 36,545,058.07/6,616.21
  6. Step 6: Final answer
    x = 5,523.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.