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Finding the Fourth Proportional to 6,144.30, 9,216.48 and 1,984.32

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Solution

The fourth proportional to 6,144.30, 9,216.48 and 1,984.32 is: 2,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.30 : 9,216.48 = 1,984.32 : x
  2. Step 2: Convert to fraction form
    6,144.30/9,216.48 = 1,984.32/x
  3. Step 3: Cross multiply
    6,144.30x = 9,216.48 × 1,984.32
  4. Step 4: Simplify right side
    6,144.30x = 18,288,445.59
  5. Step 5: Solve for x
    x = 18,288,445.59/6,144.30
  6. Step 6: Final answer
    x = 2,976.49

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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.