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Finding the Fourth Proportional to 6,433.30, 9,648.24 and 2,733.63

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Solution

The fourth proportional to 6,433.30, 9,648.24 and 2,733.63 is: 4,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.30 : 9,648.24 = 2,733.63 : x
  2. Step 2: Convert to fraction form
    6,433.30/9,648.24 = 2,733.63/x
  3. Step 3: Cross multiply
    6,433.30x = 9,648.24 × 2,733.63
  4. Step 4: Simplify right side
    6,433.30x = 26,374,718.31
  5. Step 5: Solve for x
    x = 26,374,718.31/6,433.30
  6. Step 6: Final answer
    x = 4,099.72

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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.