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Finding the Fourth Proportional to 6,683.14, 9,222.35 and 3,698.80

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Solution

The fourth proportional to 6,683.14, 9,222.35 and 3,698.80 is: 5,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.14 : 9,222.35 = 3,698.80 : x
  2. Step 2: Convert to fraction form
    6,683.14/9,222.35 = 3,698.80/x
  3. Step 3: Cross multiply
    6,683.14x = 9,222.35 × 3,698.80
  4. Step 4: Simplify right side
    6,683.14x = 34,111,582.07
  5. Step 5: Solve for x
    x = 34,111,582.07/6,683.14
  6. Step 6: Final answer
    x = 5,104.13

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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.