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Finding the Fourth Proportional to 6,956.26, 9,599.86 and 3,812.64

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Solution

The fourth proportional to 6,956.26, 9,599.86 and 3,812.64 is: 5,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.26 : 9,599.86 = 3,812.64 : x
  2. Step 2: Convert to fraction form
    6,956.26/9,599.86 = 3,812.64/x
  3. Step 3: Cross multiply
    6,956.26x = 9,599.86 × 3,812.64
  4. Step 4: Simplify right side
    6,956.26x = 36,600,810.23
  5. Step 5: Solve for x
    x = 36,600,810.23/6,956.26
  6. Step 6: Final answer
    x = 5,261.56

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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.