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Finding the Fourth Proportional to 9,296.40, 13,944.60 and 8,356.80

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Solution

The fourth proportional to 9,296.40, 13,944.60 and 8,356.80 is: 12,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.40 : 13,944.60 = 8,356.80 : x
  2. Step 2: Convert to fraction form
    9,296.40/13,944.60 = 8,356.80/x
  3. Step 3: Cross multiply
    9,296.40x = 13,944.60 × 8,356.80
  4. Step 4: Simplify right side
    9,296.40x = 116,532,233.28
  5. Step 5: Solve for x
    x = 116,532,233.28/9,296.40
  6. Step 6: Final answer
    x = 12,535.20

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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.