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Finding the Fourth Proportional to 6,434.26, 9,650.23 and 3,471.32

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Solution

The fourth proportional to 6,434.26, 9,650.23 and 3,471.32 is: 5,206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.26 : 9,650.23 = 3,471.32 : x
  2. Step 2: Convert to fraction form
    6,434.26/9,650.23 = 3,471.32/x
  3. Step 3: Cross multiply
    6,434.26x = 9,650.23 × 3,471.32
  4. Step 4: Simplify right side
    6,434.26x = 33,499,036.40
  5. Step 5: Solve for x
    x = 33,499,036.40/6,434.26
  6. Step 6: Final answer
    x = 5,206.35

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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.