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Finding the Fourth Proportional to 6,570.72, 9,067.77 and 3,586.41

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Solution

The fourth proportional to 6,570.72, 9,067.77 and 3,586.41 is: 4,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.72 : 9,067.77 = 3,586.41 : x
  2. Step 2: Convert to fraction form
    6,570.72/9,067.77 = 3,586.41/x
  3. Step 3: Cross multiply
    6,570.72x = 9,067.77 × 3,586.41
  4. Step 4: Simplify right side
    6,570.72x = 32,520,741.01
  5. Step 5: Solve for x
    x = 32,520,741.01/6,570.72
  6. Step 6: Final answer
    x = 4,949.34

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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.