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Finding the Fourth Proportional to 6,275.42, 9,410.38 and 2,114.31

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Solution

The fourth proportional to 6,275.42, 9,410.38 and 2,114.31 is: 3,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.42 : 9,410.38 = 2,114.31 : x
  2. Step 2: Convert to fraction form
    6,275.42/9,410.38 = 2,114.31/x
  3. Step 3: Cross multiply
    6,275.42x = 9,410.38 × 2,114.31
  4. Step 4: Simplify right side
    6,275.42x = 19,896,460.54
  5. Step 5: Solve for x
    x = 19,896,460.54/6,275.42
  6. Step 6: Final answer
    x = 3,170.54

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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.