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Finding the Fourth Proportional to 10,084.46, 13,910.28 and 6,935.18

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Solution

The fourth proportional to 10,084.46, 13,910.28 and 6,935.18 is: 9,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.46 : 13,910.28 = 6,935.18 : x
  2. Step 2: Convert to fraction form
    10,084.46/13,910.28 = 6,935.18/x
  3. Step 3: Cross multiply
    10,084.46x = 13,910.28 × 6,935.18
  4. Step 4: Simplify right side
    10,084.46x = 96,470,295.65
  5. Step 5: Solve for x
    x = 96,470,295.65/10,084.46
  6. Step 6: Final answer
    x = 9,566.23

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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.