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Finding the Fourth Proportional to 6,646.77, 9,173.52 and 3,995.64

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Solution

The fourth proportional to 6,646.77, 9,173.52 and 3,995.64 is: 5,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.77 : 9,173.52 = 3,995.64 : x
  2. Step 2: Convert to fraction form
    6,646.77/9,173.52 = 3,995.64/x
  3. Step 3: Cross multiply
    6,646.77x = 9,173.52 × 3,995.64
  4. Step 4: Simplify right side
    6,646.77x = 36,654,083.45
  5. Step 5: Solve for x
    x = 36,654,083.45/6,646.77
  6. Step 6: Final answer
    x = 5,514.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.