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Finding the Fourth Proportional to 6,683.65, 9,265.62 and 6,328.13

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Solution

The fourth proportional to 6,683.65, 9,265.62 and 6,328.13 is: 8,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.65 : 9,265.62 = 6,328.13 : x
  2. Step 2: Convert to fraction form
    6,683.65/9,265.62 = 6,328.13/x
  3. Step 3: Cross multiply
    6,683.65x = 9,265.62 × 6,328.13
  4. Step 4: Simplify right side
    6,683.65x = 58,634,025.29
  5. Step 5: Solve for x
    x = 58,634,025.29/6,683.65
  6. Step 6: Final answer
    x = 8,772.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.