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Finding the Fourth Proportional to 9,306.99, 12,840.10 and 6,890.11

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Solution

The fourth proportional to 9,306.99, 12,840.10 and 6,890.11 is: 9,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.99 : 12,840.10 = 6,890.11 : x
  2. Step 2: Convert to fraction form
    9,306.99/12,840.10 = 6,890.11/x
  3. Step 3: Cross multiply
    9,306.99x = 12,840.10 × 6,890.11
  4. Step 4: Simplify right side
    9,306.99x = 88,469,701.41
  5. Step 5: Solve for x
    x = 88,469,701.41/9,306.99
  6. Step 6: Final answer
    x = 9,505.73

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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.