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Finding the Fourth Proportional to 6,916.89, 9,548.17 and 5,238.30

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Solution

The fourth proportional to 6,916.89, 9,548.17 and 5,238.30 is: 7,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.89 : 9,548.17 = 5,238.30 : x
  2. Step 2: Convert to fraction form
    6,916.89/9,548.17 = 5,238.30/x
  3. Step 3: Cross multiply
    6,916.89x = 9,548.17 × 5,238.30
  4. Step 4: Simplify right side
    6,916.89x = 50,016,165.82
  5. Step 5: Solve for x
    x = 50,016,165.82/6,916.89
  6. Step 6: Final answer
    x = 7,231.02

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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.