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Finding the Fourth Proportional to 6,693.96, 9,237.74 and 3,709.86

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Solution

The fourth proportional to 6,693.96, 9,237.74 and 3,709.86 is: 5,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.96 : 9,237.74 = 3,709.86 : x
  2. Step 2: Convert to fraction form
    6,693.96/9,237.74 = 3,709.86/x
  3. Step 3: Cross multiply
    6,693.96x = 9,237.74 × 3,709.86
  4. Step 4: Simplify right side
    6,693.96x = 34,270,722.12
  5. Step 5: Solve for x
    x = 34,270,722.12/6,693.96
  6. Step 6: Final answer
    x = 5,119.65

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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.