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Finding the Fourth Proportional to 6,570.86, 9,067.62 and 3,586.82

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Solution

The fourth proportional to 6,570.86, 9,067.62 and 3,586.82 is: 4,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.86 : 9,067.62 = 3,586.82 : x
  2. Step 2: Convert to fraction form
    6,570.86/9,067.62 = 3,586.82/x
  3. Step 3: Cross multiply
    6,570.86x = 9,067.62 × 3,586.82
  4. Step 4: Simplify right side
    6,570.86x = 32,523,875.43
  5. Step 5: Solve for x
    x = 32,523,875.43/6,570.86
  6. Step 6: Final answer
    x = 4,949.72

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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.