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Finding the Fourth Proportional to 7,943.60, 10,967.16 and 7,194.80

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Solution

The fourth proportional to 7,943.60, 10,967.16 and 7,194.80 is: 9,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.60 : 10,967.16 = 7,194.80 : x
  2. Step 2: Convert to fraction form
    7,943.60/10,967.16 = 7,194.80/x
  3. Step 3: Cross multiply
    7,943.60x = 10,967.16 × 7,194.80
  4. Step 4: Simplify right side
    7,943.60x = 78,906,522.77
  5. Step 5: Solve for x
    x = 78,906,522.77/7,943.60
  6. Step 6: Final answer
    x = 9,933.35

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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.