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Finding the Fourth Proportional to 6,567.32, 9,850.92 and 4,635.44

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Solution

The fourth proportional to 6,567.32, 9,850.92 and 4,635.44 is: 6,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.32 : 9,850.92 = 4,635.44 : x
  2. Step 2: Convert to fraction form
    6,567.32/9,850.92 = 4,635.44/x
  3. Step 3: Cross multiply
    6,567.32x = 9,850.92 × 4,635.44
  4. Step 4: Simplify right side
    6,567.32x = 45,663,348.60
  5. Step 5: Solve for x
    x = 45,663,348.60/6,567.32
  6. Step 6: Final answer
    x = 6,953.12

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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.