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Finding the Fourth Proportional to 6,418.80, 9,628.44 and 3,134.64

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Solution

The fourth proportional to 6,418.80, 9,628.44 and 3,134.64 is: 4,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.80 : 9,628.44 = 3,134.64 : x
  2. Step 2: Convert to fraction form
    6,418.80/9,628.44 = 3,134.64/x
  3. Step 3: Cross multiply
    6,418.80x = 9,628.44 × 3,134.64
  4. Step 4: Simplify right side
    6,418.80x = 30,181,693.16
  5. Step 5: Solve for x
    x = 30,181,693.16/6,418.80
  6. Step 6: Final answer
    x = 4,702.08

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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.