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Finding the Fourth Proportional to 6,665.81, 9,195.77 and 3,870.77

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Solution

The fourth proportional to 6,665.81, 9,195.77 and 3,870.77 is: 5,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.81 : 9,195.77 = 3,870.77 : x
  2. Step 2: Convert to fraction form
    6,665.81/9,195.77 = 3,870.77/x
  3. Step 3: Cross multiply
    6,665.81x = 9,195.77 × 3,870.77
  4. Step 4: Simplify right side
    6,665.81x = 35,594,691.29
  5. Step 5: Solve for x
    x = 35,594,691.29/6,665.81
  6. Step 6: Final answer
    x = 5,339.89

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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.