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Finding the Fourth Proportional to 6,683.16, 9,222.15 and 3,698.92

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Solution

The fourth proportional to 6,683.16, 9,222.15 and 3,698.92 is: 5,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.16 : 9,222.15 = 3,698.92 : x
  2. Step 2: Convert to fraction form
    6,683.16/9,222.15 = 3,698.92/x
  3. Step 3: Cross multiply
    6,683.16x = 9,222.15 × 3,698.92
  4. Step 4: Simplify right side
    6,683.16x = 34,111,995.08
  5. Step 5: Solve for x
    x = 34,111,995.08/6,683.16
  6. Step 6: Final answer
    x = 5,104.17

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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.