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Finding the Fourth Proportional to 6,920.92, 9,549.30 and 6,683.80

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Solution

The fourth proportional to 6,920.92, 9,549.30 and 6,683.80 is: 9,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.92 : 9,549.30 = 6,683.80 : x
  2. Step 2: Convert to fraction form
    6,920.92/9,549.30 = 6,683.80/x
  3. Step 3: Cross multiply
    6,920.92x = 9,549.30 × 6,683.80
  4. Step 4: Simplify right side
    6,920.92x = 63,825,611.34
  5. Step 5: Solve for x
    x = 63,825,611.34/6,920.92
  6. Step 6: Final answer
    x = 9,222.13

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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.