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Finding the Fourth Proportional to 9,706.68, 14,554.26 and 3,866.04

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Solution

The fourth proportional to 9,706.68, 14,554.26 and 3,866.04 is: 5,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.68 : 14,554.26 = 3,866.04 : x
  2. Step 2: Convert to fraction form
    9,706.68/14,554.26 = 3,866.04/x
  3. Step 3: Cross multiply
    9,706.68x = 14,554.26 × 3,866.04
  4. Step 4: Simplify right side
    9,706.68x = 56,267,351.33
  5. Step 5: Solve for x
    x = 56,267,351.33/9,706.68
  6. Step 6: Final answer
    x = 5,796.77

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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.