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Finding the Fourth Proportional to 6,683.30, 9,222.72 and 3,699.14

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Solution

The fourth proportional to 6,683.30, 9,222.72 and 3,699.14 is: 5,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.30 : 9,222.72 = 3,699.14 : x
  2. Step 2: Convert to fraction form
    6,683.30/9,222.72 = 3,699.14/x
  3. Step 3: Cross multiply
    6,683.30x = 9,222.72 × 3,699.14
  4. Step 4: Simplify right side
    6,683.30x = 34,116,132.46
  5. Step 5: Solve for x
    x = 34,116,132.46/6,683.30
  6. Step 6: Final answer
    x = 5,104.68

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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.