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Finding the Fourth Proportional to 6,644.08, 9,966.12 and 2,261.44

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Solution

The fourth proportional to 6,644.08, 9,966.12 and 2,261.44 is: 3,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.08 : 9,966.12 = 2,261.44 : x
  2. Step 2: Convert to fraction form
    6,644.08/9,966.12 = 2,261.44/x
  3. Step 3: Cross multiply
    6,644.08x = 9,966.12 × 2,261.44
  4. Step 4: Simplify right side
    6,644.08x = 22,537,782.41
  5. Step 5: Solve for x
    x = 22,537,782.41/6,644.08
  6. Step 6: Final answer
    x = 3,392.16

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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.