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Finding the Fourth Proportional to 9,706.04, 14,562.09 and 4,086.66

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Solution

The fourth proportional to 9,706.04, 14,562.09 and 4,086.66 is: 6,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.04 : 14,562.09 = 4,086.66 : x
  2. Step 2: Convert to fraction form
    9,706.04/14,562.09 = 4,086.66/x
  3. Step 3: Cross multiply
    9,706.04x = 14,562.09 × 4,086.66
  4. Step 4: Simplify right side
    9,706.04x = 59,510,310.72
  5. Step 5: Solve for x
    x = 59,510,310.72/9,706.04
  6. Step 6: Final answer
    x = 6,131.27

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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.