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Finding the Fourth Proportional to 6,012.14, 8,296.70 and 3,323.53

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Solution

The fourth proportional to 6,012.14, 8,296.70 and 3,323.53 is: 4,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.14 : 8,296.70 = 3,323.53 : x
  2. Step 2: Convert to fraction form
    6,012.14/8,296.70 = 3,323.53/x
  3. Step 3: Cross multiply
    6,012.14x = 8,296.70 × 3,323.53
  4. Step 4: Simplify right side
    6,012.14x = 27,574,325.10
  5. Step 5: Solve for x
    x = 27,574,325.10/6,012.14
  6. Step 6: Final answer
    x = 4,586.44

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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.