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Finding the Fourth Proportional to 6,384.39, 9,573.98 and 2,223.51

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Solution

The fourth proportional to 6,384.39, 9,573.98 and 2,223.51 is: 3,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.39 : 9,573.98 = 2,223.51 : x
  2. Step 2: Convert to fraction form
    6,384.39/9,573.98 = 2,223.51/x
  3. Step 3: Cross multiply
    6,384.39x = 9,573.98 × 2,223.51
  4. Step 4: Simplify right side
    6,384.39x = 21,287,840.27
  5. Step 5: Solve for x
    x = 21,287,840.27/6,384.39
  6. Step 6: Final answer
    x = 3,334.36

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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.