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Finding the Fourth Proportional to 9,296.40, 13,944.60 and 5,408.40

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Solution

The fourth proportional to 9,296.40, 13,944.60 and 5,408.40 is: 8,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.40 : 13,944.60 = 5,408.40 : x
  2. Step 2: Convert to fraction form
    9,296.40/13,944.60 = 5,408.40/x
  3. Step 3: Cross multiply
    9,296.40x = 13,944.60 × 5,408.40
  4. Step 4: Simplify right side
    9,296.40x = 75,417,974.64
  5. Step 5: Solve for x
    x = 75,417,974.64/9,296.40
  6. Step 6: Final answer
    x = 8,112.60

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Similar ratio
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1.5x scale

Why These Related Problems?

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