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Finding the Fourth Proportional to 6,293.12, 9,432.12 and 4,441.46

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Solution

The fourth proportional to 6,293.12, 9,432.12 and 4,441.46 is: 6,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.12 : 9,432.12 = 4,441.46 : x
  2. Step 2: Convert to fraction form
    6,293.12/9,432.12 = 4,441.46/x
  3. Step 3: Cross multiply
    6,293.12x = 9,432.12 × 4,441.46
  4. Step 4: Simplify right side
    6,293.12x = 41,892,383.70
  5. Step 5: Solve for x
    x = 41,892,383.70/6,293.12
  6. Step 6: Final answer
    x = 6,656.85

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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.