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Finding the Fourth Proportional to 6,504.40, 9,744.60 and 3,586.24

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Solution

The fourth proportional to 6,504.40, 9,744.60 and 3,586.24 is: 5,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.40 : 9,744.60 = 3,586.24 : x
  2. Step 2: Convert to fraction form
    6,504.40/9,744.60 = 3,586.24/x
  3. Step 3: Cross multiply
    6,504.40x = 9,744.60 × 3,586.24
  4. Step 4: Simplify right side
    6,504.40x = 34,946,474.30
  5. Step 5: Solve for x
    x = 34,946,474.30/6,504.40
  6. Step 6: Final answer
    x = 5,372.74

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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.