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Finding the Fourth Proportional to 6,753.75, 9,319.93 and 3,770.10

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Solution

The fourth proportional to 6,753.75, 9,319.93 and 3,770.10 is: 5,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.75 : 9,319.93 = 3,770.10 : x
  2. Step 2: Convert to fraction form
    6,753.75/9,319.93 = 3,770.10/x
  3. Step 3: Cross multiply
    6,753.75x = 9,319.93 × 3,770.10
  4. Step 4: Simplify right side
    6,753.75x = 35,137,068.09
  5. Step 5: Solve for x
    x = 35,137,068.09/6,753.75
  6. Step 6: Final answer
    x = 5,202.60

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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.