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Finding the Fourth Proportional to 6,275.32, 9,410.25 and 2,114.56

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Solution

The fourth proportional to 6,275.32, 9,410.25 and 2,114.56 is: 3,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.32 : 9,410.25 = 2,114.56 : x
  2. Step 2: Convert to fraction form
    6,275.32/9,410.25 = 2,114.56/x
  3. Step 3: Cross multiply
    6,275.32x = 9,410.25 × 2,114.56
  4. Step 4: Simplify right side
    6,275.32x = 19,898,499.05
  5. Step 5: Solve for x
    x = 19,898,499.05/6,275.32
  6. Step 6: Final answer
    x = 3,170.91

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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.