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Finding the Fourth Proportional to 9,706.06, 14,555.22 and 4,161.88

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Solution

The fourth proportional to 9,706.06, 14,555.22 and 4,161.88 is: 6,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.06 : 14,555.22 = 4,161.88 : x
  2. Step 2: Convert to fraction form
    9,706.06/14,555.22 = 4,161.88/x
  3. Step 3: Cross multiply
    9,706.06x = 14,555.22 × 4,161.88
  4. Step 4: Simplify right side
    9,706.06x = 60,577,079.01
  5. Step 5: Solve for x
    x = 60,577,079.01/9,706.06
  6. Step 6: Final answer
    x = 6,241.16

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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.