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Finding the Fourth Proportional to 9,712.78, 13,399.40 and 6,174.08

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Solution

The fourth proportional to 9,712.78, 13,399.40 and 6,174.08 is: 8,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.78 : 13,399.40 = 6,174.08 : x
  2. Step 2: Convert to fraction form
    9,712.78/13,399.40 = 6,174.08/x
  3. Step 3: Cross multiply
    9,712.78x = 13,399.40 × 6,174.08
  4. Step 4: Simplify right side
    9,712.78x = 82,728,967.55
  5. Step 5: Solve for x
    x = 82,728,967.55/9,712.78
  6. Step 6: Final answer
    x = 8,517.54

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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.