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Finding the Fourth Proportional to 6,333.64, 9,496.50 and 2,433.40

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Solution

The fourth proportional to 6,333.64, 9,496.50 and 2,433.40 is: 3,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.64 : 9,496.50 = 2,433.40 : x
  2. Step 2: Convert to fraction form
    6,333.64/9,496.50 = 2,433.40/x
  3. Step 3: Cross multiply
    6,333.64x = 9,496.50 × 2,433.40
  4. Step 4: Simplify right side
    6,333.64x = 23,108,783.10
  5. Step 5: Solve for x
    x = 23,108,783.10/6,333.64
  6. Step 6: Final answer
    x = 3,648.58

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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.