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Finding the Fourth Proportional to 7,034.74, 9,706.35 and 4,201.60

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Solution

The fourth proportional to 7,034.74, 9,706.35 and 4,201.60 is: 5,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.74 : 9,706.35 = 4,201.60 : x
  2. Step 2: Convert to fraction form
    7,034.74/9,706.35 = 4,201.60/x
  3. Step 3: Cross multiply
    7,034.74x = 9,706.35 × 4,201.60
  4. Step 4: Simplify right side
    7,034.74x = 40,782,200.16
  5. Step 5: Solve for x
    x = 40,782,200.16/7,034.74
  6. Step 6: Final answer
    x = 5,797.26

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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.