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Finding the Fourth Proportional to 6,232.40, 9,348.60 and 5,464.40

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Solution

The fourth proportional to 6,232.40, 9,348.60 and 5,464.40 is: 8,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.40 : 9,348.60 = 5,464.40 : x
  2. Step 2: Convert to fraction form
    6,232.40/9,348.60 = 5,464.40/x
  3. Step 3: Cross multiply
    6,232.40x = 9,348.60 × 5,464.40
  4. Step 4: Simplify right side
    6,232.40x = 51,084,489.84
  5. Step 5: Solve for x
    x = 51,084,489.84/6,232.40
  6. Step 6: Final answer
    x = 8,196.60

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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.