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Finding the Fourth Proportional to 6,911.29, 9,537.80 and 3,926.94

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Solution

The fourth proportional to 6,911.29, 9,537.80 and 3,926.94 is: 5,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.29 : 9,537.80 = 3,926.94 : x
  2. Step 2: Convert to fraction form
    6,911.29/9,537.80 = 3,926.94/x
  3. Step 3: Cross multiply
    6,911.29x = 9,537.80 × 3,926.94
  4. Step 4: Simplify right side
    6,911.29x = 37,454,368.33
  5. Step 5: Solve for x
    x = 37,454,368.33/6,911.29
  6. Step 6: Final answer
    x = 5,419.30

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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.