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Finding the Fourth Proportional to 9,131.37, 12,597.92 and 6,747.09

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Solution

The fourth proportional to 9,131.37, 12,597.92 and 6,747.09 is: 9,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.37 : 12,597.92 = 6,747.09 : x
  2. Step 2: Convert to fraction form
    9,131.37/12,597.92 = 6,747.09/x
  3. Step 3: Cross multiply
    9,131.37x = 12,597.92 × 6,747.09
  4. Step 4: Simplify right side
    9,131.37x = 84,999,266.32
  5. Step 5: Solve for x
    x = 84,999,266.32/9,131.37
  6. Step 6: Final answer
    x = 9,308.49

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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.