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Finding the Fourth Proportional to 9,961.76, 13,756.56 and 6,242.24

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Solution

The fourth proportional to 9,961.76, 13,756.56 and 6,242.24 is: 8,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.76 : 13,756.56 = 6,242.24 : x
  2. Step 2: Convert to fraction form
    9,961.76/13,756.56 = 6,242.24/x
  3. Step 3: Cross multiply
    9,961.76x = 13,756.56 × 6,242.24
  4. Step 4: Simplify right side
    9,961.76x = 85,871,749.09
  5. Step 5: Solve for x
    x = 85,871,749.09/9,961.76
  6. Step 6: Final answer
    x = 8,620.14

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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.