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Finding the Fourth Proportional to 6,384.09, 9,573.77 and 2,223.03

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Solution

The fourth proportional to 6,384.09, 9,573.77 and 2,223.03 is: 3,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.09 : 9,573.77 = 2,223.03 : x
  2. Step 2: Convert to fraction form
    6,384.09/9,573.77 = 2,223.03/x
  3. Step 3: Cross multiply
    6,384.09x = 9,573.77 × 2,223.03
  4. Step 4: Simplify right side
    6,384.09x = 21,282,766.81
  5. Step 5: Solve for x
    x = 21,282,766.81/6,384.09
  6. Step 6: Final answer
    x = 3,333.72

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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.