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Finding the Fourth Proportional to 6,956.57, 9,599.53 and 3,972

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Solution

The fourth proportional to 6,956.57, 9,599.53 and 3,972 is: 5,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.57 : 9,599.53 = 3,972 : x
  2. Step 2: Convert to fraction form
    6,956.57/9,599.53 = 3,972/x
  3. Step 3: Cross multiply
    6,956.57x = 9,599.53 × 3,972
  4. Step 4: Simplify right side
    6,956.57x = 38,129,333.16
  5. Step 5: Solve for x
    x = 38,129,333.16/6,956.57
  6. Step 6: Final answer
    x = 5,481.05

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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.