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Finding the Fourth Proportional to 6,683.40, 9,223.16 and 3,699.18

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Solution

The fourth proportional to 6,683.40, 9,223.16 and 3,699.18 is: 5,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.40 : 9,223.16 = 3,699.18 : x
  2. Step 2: Convert to fraction form
    6,683.40/9,223.16 = 3,699.18/x
  3. Step 3: Cross multiply
    6,683.40x = 9,223.16 × 3,699.18
  4. Step 4: Simplify right side
    6,683.40x = 34,118,110.51
  5. Step 5: Solve for x
    x = 34,118,110.51/6,683.40
  6. Step 6: Final answer
    x = 5,104.90

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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.