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Finding the Fourth Proportional to 6,956.36, 9,596.76 and 4,601.78

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Solution

The fourth proportional to 6,956.36, 9,596.76 and 4,601.78 is: 6,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.36 : 9,596.76 = 4,601.78 : x
  2. Step 2: Convert to fraction form
    6,956.36/9,596.76 = 4,601.78/x
  3. Step 3: Cross multiply
    6,956.36x = 9,596.76 × 4,601.78
  4. Step 4: Simplify right side
    6,956.36x = 44,162,178.23
  5. Step 5: Solve for x
    x = 44,162,178.23/6,956.36
  6. Step 6: Final answer
    x = 6,348.46

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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.