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Finding the Fourth Proportional to 6,570.20, 9,066.99 and 3,586.06

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Solution

The fourth proportional to 6,570.20, 9,066.99 and 3,586.06 is: 4,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.20 : 9,066.99 = 3,586.06 : x
  2. Step 2: Convert to fraction form
    6,570.20/9,066.99 = 3,586.06/x
  3. Step 3: Cross multiply
    6,570.20x = 9,066.99 × 3,586.06
  4. Step 4: Simplify right side
    6,570.20x = 32,514,770.16
  5. Step 5: Solve for x
    x = 32,514,770.16/6,570.20
  6. Step 6: Final answer
    x = 4,948.83

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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.