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Finding the Fourth Proportional to 6,424.98, 9,636.57 and 2,042.88

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Solution

The fourth proportional to 6,424.98, 9,636.57 and 2,042.88 is: 3,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.98 : 9,636.57 = 2,042.88 : x
  2. Step 2: Convert to fraction form
    6,424.98/9,636.57 = 2,042.88/x
  3. Step 3: Cross multiply
    6,424.98x = 9,636.57 × 2,042.88
  4. Step 4: Simplify right side
    6,424.98x = 19,686,356.12
  5. Step 5: Solve for x
    x = 19,686,356.12/6,424.98
  6. Step 6: Final answer
    x = 3,064.03

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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.