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Finding the Fourth Proportional to 9,206.95, 12,704.60 and 6,181.46

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Solution

The fourth proportional to 9,206.95, 12,704.60 and 6,181.46 is: 8,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.95 : 12,704.60 = 6,181.46 : x
  2. Step 2: Convert to fraction form
    9,206.95/12,704.60 = 6,181.46/x
  3. Step 3: Cross multiply
    9,206.95x = 12,704.60 × 6,181.46
  4. Step 4: Simplify right side
    9,206.95x = 78,532,928.65
  5. Step 5: Solve for x
    x = 78,532,928.65/9,206.95
  6. Step 6: Final answer
    x = 8,529.75

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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.