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Finding the Fourth Proportional to 6,911.91, 9,538.66 and 3,927.57

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Solution

The fourth proportional to 6,911.91, 9,538.66 and 3,927.57 is: 5,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.91 : 9,538.66 = 3,927.57 : x
  2. Step 2: Convert to fraction form
    6,911.91/9,538.66 = 3,927.57/x
  3. Step 3: Cross multiply
    6,911.91x = 9,538.66 × 3,927.57
  4. Step 4: Simplify right side
    6,911.91x = 37,463,754.86
  5. Step 5: Solve for x
    x = 37,463,754.86/6,911.91
  6. Step 6: Final answer
    x = 5,420.17

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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.