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Finding the Fourth Proportional to 6,421.68, 9,626.24 and 3,303.18

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Solution

The fourth proportional to 6,421.68, 9,626.24 and 3,303.18 is: 4,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.68 : 9,626.24 = 3,303.18 : x
  2. Step 2: Convert to fraction form
    6,421.68/9,626.24 = 3,303.18/x
  3. Step 3: Cross multiply
    6,421.68x = 9,626.24 × 3,303.18
  4. Step 4: Simplify right side
    6,421.68x = 31,797,211.70
  5. Step 5: Solve for x
    x = 31,797,211.70/6,421.68
  6. Step 6: Final answer
    x = 4,951.54

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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.