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Finding the Fourth Proportional to 6,171.52, 9,268.22 and 5,916.40

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Solution

The fourth proportional to 6,171.52, 9,268.22 and 5,916.40 is: 8,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.52 : 9,268.22 = 5,916.40 : x
  2. Step 2: Convert to fraction form
    6,171.52/9,268.22 = 5,916.40/x
  3. Step 3: Cross multiply
    6,171.52x = 9,268.22 × 5,916.40
  4. Step 4: Simplify right side
    6,171.52x = 54,834,496.81
  5. Step 5: Solve for x
    x = 54,834,496.81/6,171.52
  6. Step 6: Final answer
    x = 8,885.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.