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Finding the Fourth Proportional to 6,704.35, 9,243.20 and 5,770.16

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Solution

The fourth proportional to 6,704.35, 9,243.20 and 5,770.16 is: 7,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.35 : 9,243.20 = 5,770.16 : x
  2. Step 2: Convert to fraction form
    6,704.35/9,243.20 = 5,770.16/x
  3. Step 3: Cross multiply
    6,704.35x = 9,243.20 × 5,770.16
  4. Step 4: Simplify right side
    6,704.35x = 53,334,765.32
  5. Step 5: Solve for x
    x = 53,334,765.32/6,704.35
  6. Step 6: Final answer
    x = 7,955.25

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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.