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Finding the Fourth Proportional to 6,415.68, 9,621.56 and 3,452.28

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Solution

The fourth proportional to 6,415.68, 9,621.56 and 3,452.28 is: 5,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.68 : 9,621.56 = 3,452.28 : x
  2. Step 2: Convert to fraction form
    6,415.68/9,621.56 = 3,452.28/x
  3. Step 3: Cross multiply
    6,415.68x = 9,621.56 × 3,452.28
  4. Step 4: Simplify right side
    6,415.68x = 33,216,319.16
  5. Step 5: Solve for x
    x = 33,216,319.16/6,415.68
  6. Step 6: Final answer
    x = 5,177.37

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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.