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Finding the Fourth Proportional to 9,706.73, 13,379.15 and 6,870.46

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Solution

The fourth proportional to 9,706.73, 13,379.15 and 6,870.46 is: 9,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.73 : 13,379.15 = 6,870.46 : x
  2. Step 2: Convert to fraction form
    9,706.73/13,379.15 = 6,870.46/x
  3. Step 3: Cross multiply
    9,706.73x = 13,379.15 × 6,870.46
  4. Step 4: Simplify right side
    9,706.73x = 91,920,923.04
  5. Step 5: Solve for x
    x = 91,920,923.04/9,706.73
  6. Step 6: Final answer
    x = 9,469.82

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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.