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Finding the Fourth Proportional to 9,419.64, 12,999.78 and 5,227.86

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Solution

The fourth proportional to 9,419.64, 12,999.78 and 5,227.86 is: 7,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.64 : 12,999.78 = 5,227.86 : x
  2. Step 2: Convert to fraction form
    9,419.64/12,999.78 = 5,227.86/x
  3. Step 3: Cross multiply
    9,419.64x = 12,999.78 × 5,227.86
  4. Step 4: Simplify right side
    9,419.64x = 67,961,029.87
  5. Step 5: Solve for x
    x = 67,961,029.87/9,419.64
  6. Step 6: Final answer
    x = 7,214.82

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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.