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Finding the Fourth Proportional to 6,570.36, 9,067.14 and 3,586.23

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Solution

The fourth proportional to 6,570.36, 9,067.14 and 3,586.23 is: 4,949.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.36 : 9,067.14 = 3,586.23 : x
  2. Step 2: Convert to fraction form
    6,570.36/9,067.14 = 3,586.23/x
  3. Step 3: Cross multiply
    6,570.36x = 9,067.14 × 3,586.23
  4. Step 4: Simplify right side
    6,570.36x = 32,516,849.48
  5. Step 5: Solve for x
    x = 32,516,849.48/6,570.36
  6. Step 6: Final answer
    x = 4,949.02

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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.