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Finding the Fourth Proportional to 6,390.71, 9,600.05 and 4,553.63

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Solution

The fourth proportional to 6,390.71, 9,600.05 and 4,553.63 is: 6,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.71 : 9,600.05 = 4,553.63 : x
  2. Step 2: Convert to fraction form
    6,390.71/9,600.05 = 4,553.63/x
  3. Step 3: Cross multiply
    6,390.71x = 9,600.05 × 4,553.63
  4. Step 4: Simplify right side
    6,390.71x = 43,715,076.91
  5. Step 5: Solve for x
    x = 43,715,076.91/6,390.71
  6. Step 6: Final answer
    x = 6,840.41

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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.