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Finding the Fourth Proportional to 6,570.84, 9,067.43 and 3,586.11

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Solution

The fourth proportional to 6,570.84, 9,067.43 and 3,586.11 is: 4,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.84 : 9,067.43 = 3,586.11 : x
  2. Step 2: Convert to fraction form
    6,570.84/9,067.43 = 3,586.11/x
  3. Step 3: Cross multiply
    6,570.84x = 9,067.43 × 3,586.11
  4. Step 4: Simplify right side
    6,570.84x = 32,516,756.19
  5. Step 5: Solve for x
    x = 32,516,756.19/6,570.84
  6. Step 6: Final answer
    x = 4,948.64

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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.