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Finding the Fourth Proportional to 6,527.04, 9,793.80 and 3,240

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Solution

The fourth proportional to 6,527.04, 9,793.80 and 3,240 is: 4,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.04 : 9,793.80 = 3,240 : x
  2. Step 2: Convert to fraction form
    6,527.04/9,793.80 = 3,240/x
  3. Step 3: Cross multiply
    6,527.04x = 9,793.80 × 3,240
  4. Step 4: Simplify right side
    6,527.04x = 31,731,912.00
  5. Step 5: Solve for x
    x = 31,731,912.00/6,527.04
  6. Step 6: Final answer
    x = 4,861.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.