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Finding the Fourth Proportional to 6,646.20, 9,980.70 and 3,683.40

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Solution

The fourth proportional to 6,646.20, 9,980.70 and 3,683.40 is: 5,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.20 : 9,980.70 = 3,683.40 : x
  2. Step 2: Convert to fraction form
    6,646.20/9,980.70 = 3,683.40/x
  3. Step 3: Cross multiply
    6,646.20x = 9,980.70 × 3,683.40
  4. Step 4: Simplify right side
    6,646.20x = 36,762,910.38
  5. Step 5: Solve for x
    x = 36,762,910.38/6,646.20
  6. Step 6: Final answer
    x = 5,531.42

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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.