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Finding the Fourth Proportional to 9,206.70, 13,739.40 and 8,222.52

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Solution

The fourth proportional to 9,206.70, 13,739.40 and 8,222.52 is: 12,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.70 : 13,739.40 = 8,222.52 : x
  2. Step 2: Convert to fraction form
    9,206.70/13,739.40 = 8,222.52/x
  3. Step 3: Cross multiply
    9,206.70x = 13,739.40 × 8,222.52
  4. Step 4: Simplify right side
    9,206.70x = 112,972,491.29
  5. Step 5: Solve for x
    x = 112,972,491.29/9,206.70
  6. Step 6: Final answer
    x = 12,270.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.