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Finding the Fourth Proportional to 6,414.45, 9,630.52 and 4,435.22

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Solution

The fourth proportional to 6,414.45, 9,630.52 and 4,435.22 is: 6,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.45 : 9,630.52 = 4,435.22 : x
  2. Step 2: Convert to fraction form
    6,414.45/9,630.52 = 4,435.22/x
  3. Step 3: Cross multiply
    6,414.45x = 9,630.52 × 4,435.22
  4. Step 4: Simplify right side
    6,414.45x = 42,713,404.59
  5. Step 5: Solve for x
    x = 42,713,404.59/6,414.45
  6. Step 6: Final answer
    x = 6,658.93

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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.