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Finding the Fourth Proportional to 7,949.43, 11,931.93 and 6,641.60

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Solution

The fourth proportional to 7,949.43, 11,931.93 and 6,641.60 is: 9,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.43 : 11,931.93 = 6,641.60 : x
  2. Step 2: Convert to fraction form
    7,949.43/11,931.93 = 6,641.60/x
  3. Step 3: Cross multiply
    7,949.43x = 11,931.93 × 6,641.60
  4. Step 4: Simplify right side
    7,949.43x = 79,247,046.63
  5. Step 5: Solve for x
    x = 79,247,046.63/7,949.43
  6. Step 6: Final answer
    x = 9,968.90

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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.