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Finding the Fourth Proportional to 8,296.40, 12,444.60 and 3,922.40

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Solution

The fourth proportional to 8,296.40, 12,444.60 and 3,922.40 is: 5,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.40 : 12,444.60 = 3,922.40 : x
  2. Step 2: Convert to fraction form
    8,296.40/12,444.60 = 3,922.40/x
  3. Step 3: Cross multiply
    8,296.40x = 12,444.60 × 3,922.40
  4. Step 4: Simplify right side
    8,296.40x = 48,812,699.04
  5. Step 5: Solve for x
    x = 48,812,699.04/8,296.40
  6. Step 6: Final answer
    x = 5,883.60

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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.