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Finding the Fourth Proportional to 9,263.79, 12,786.02 and 5,905.83

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Solution

The fourth proportional to 9,263.79, 12,786.02 and 5,905.83 is: 8,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.79 : 12,786.02 = 5,905.83 : x
  2. Step 2: Convert to fraction form
    9,263.79/12,786.02 = 5,905.83/x
  3. Step 3: Cross multiply
    9,263.79x = 12,786.02 × 5,905.83
  4. Step 4: Simplify right side
    9,263.79x = 75,512,030.97
  5. Step 5: Solve for x
    x = 75,512,030.97/9,263.79
  6. Step 6: Final answer
    x = 8,151.31

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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.