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Finding the Fourth Proportional to 9,777.76, 13,481.94 and 7,126.36

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Solution

The fourth proportional to 9,777.76, 13,481.94 and 7,126.36 is: 9,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.76 : 13,481.94 = 7,126.36 : x
  2. Step 2: Convert to fraction form
    9,777.76/13,481.94 = 7,126.36/x
  3. Step 3: Cross multiply
    9,777.76x = 13,481.94 × 7,126.36
  4. Step 4: Simplify right side
    9,777.76x = 96,077,157.94
  5. Step 5: Solve for x
    x = 96,077,157.94/9,777.76
  6. Step 6: Final answer
    x = 9,826.09

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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.