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Finding the Fourth Proportional to 6,706.14, 9,254.64 and 3,722.02

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Solution

The fourth proportional to 6,706.14, 9,254.64 and 3,722.02 is: 5,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.14 : 9,254.64 = 3,722.02 : x
  2. Step 2: Convert to fraction form
    6,706.14/9,254.64 = 3,722.02/x
  3. Step 3: Cross multiply
    6,706.14x = 9,254.64 × 3,722.02
  4. Step 4: Simplify right side
    6,706.14x = 34,445,955.17
  5. Step 5: Solve for x
    x = 34,445,955.17/6,706.14
  6. Step 6: Final answer
    x = 5,136.48

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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.