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Finding the Fourth Proportional to 9,270.66, 13,890.69 and 6,806.46

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Solution

The fourth proportional to 9,270.66, 13,890.69 and 6,806.46 is: 10,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.66 : 13,890.69 = 6,806.46 : x
  2. Step 2: Convert to fraction form
    9,270.66/13,890.69 = 6,806.46/x
  3. Step 3: Cross multiply
    9,270.66x = 13,890.69 × 6,806.46
  4. Step 4: Simplify right side
    9,270.66x = 94,546,425.86
  5. Step 5: Solve for x
    x = 94,546,425.86/9,270.66
  6. Step 6: Final answer
    x = 10,198.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.