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Finding the Fourth Proportional to 6,418.92, 9,628.44 and 2,036.40

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Solution

The fourth proportional to 6,418.92, 9,628.44 and 2,036.40 is: 3,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.92 : 9,628.44 = 2,036.40 : x
  2. Step 2: Convert to fraction form
    6,418.92/9,628.44 = 2,036.40/x
  3. Step 3: Cross multiply
    6,418.92x = 9,628.44 × 2,036.40
  4. Step 4: Simplify right side
    6,418.92x = 19,607,355.22
  5. Step 5: Solve for x
    x = 19,607,355.22/6,418.92
  6. Step 6: Final answer
    x = 3,054.62

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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.