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Finding the Fourth Proportional to 6,570.85, 9,066.41 and 3,775.81

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Solution

The fourth proportional to 6,570.85, 9,066.41 and 3,775.81 is: 5,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.85 : 9,066.41 = 3,775.81 : x
  2. Step 2: Convert to fraction form
    6,570.85/9,066.41 = 3,775.81/x
  3. Step 3: Cross multiply
    6,570.85x = 9,066.41 × 3,775.81
  4. Step 4: Simplify right side
    6,570.85x = 34,233,005.65
  5. Step 5: Solve for x
    x = 34,233,005.65/6,570.85
  6. Step 6: Final answer
    x = 5,209.83

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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.