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Finding the Fourth Proportional to 6,438.26, 9,656.22 and 3,475.32

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Solution

The fourth proportional to 6,438.26, 9,656.22 and 3,475.32 is: 5,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.26 : 9,656.22 = 3,475.32 : x
  2. Step 2: Convert to fraction form
    6,438.26/9,656.22 = 3,475.32/x
  3. Step 3: Cross multiply
    6,438.26x = 9,656.22 × 3,475.32
  4. Step 4: Simplify right side
    6,438.26x = 33,558,454.49
  5. Step 5: Solve for x
    x = 33,558,454.49/6,438.26
  6. Step 6: Final answer
    x = 5,212.35

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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.