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Finding the Fourth Proportional to 6,706.09, 9,254.46 and 3,722.13

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Solution

The fourth proportional to 6,706.09, 9,254.46 and 3,722.13 is: 5,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.09 : 9,254.46 = 3,722.13 : x
  2. Step 2: Convert to fraction form
    6,706.09/9,254.46 = 3,722.13/x
  3. Step 3: Cross multiply
    6,706.09x = 9,254.46 × 3,722.13
  4. Step 4: Simplify right side
    6,706.09x = 34,446,303.20
  5. Step 5: Solve for x
    x = 34,446,303.20/6,706.09
  6. Step 6: Final answer
    x = 5,136.57

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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.