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Finding the Fourth Proportional to 6,333.40, 8,734.42 and 5,274.68

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Solution

The fourth proportional to 6,333.40, 8,734.42 and 5,274.68 is: 7,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.40 : 8,734.42 = 5,274.68 : x
  2. Step 2: Convert to fraction form
    6,333.40/8,734.42 = 5,274.68/x
  3. Step 3: Cross multiply
    6,333.40x = 8,734.42 × 5,274.68
  4. Step 4: Simplify right side
    6,333.40x = 46,071,244.11
  5. Step 5: Solve for x
    x = 46,071,244.11/6,333.40
  6. Step 6: Final answer
    x = 7,274.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.