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Finding the Fourth Proportional to 6,566.10, 9,849.28 and 3,662.88

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Solution

The fourth proportional to 6,566.10, 9,849.28 and 3,662.88 is: 5,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.10 : 9,849.28 = 3,662.88 : x
  2. Step 2: Convert to fraction form
    6,566.10/9,849.28 = 3,662.88/x
  3. Step 3: Cross multiply
    6,566.10x = 9,849.28 × 3,662.88
  4. Step 4: Simplify right side
    6,566.10x = 36,076,730.73
  5. Step 5: Solve for x
    x = 36,076,730.73/6,566.10
  6. Step 6: Final answer
    x = 5,494.39

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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.