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Finding the Fourth Proportional to 6,889.51, 9,507.27 and 3,745.63

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Solution

The fourth proportional to 6,889.51, 9,507.27 and 3,745.63 is: 5,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.51 : 9,507.27 = 3,745.63 : x
  2. Step 2: Convert to fraction form
    6,889.51/9,507.27 = 3,745.63/x
  3. Step 3: Cross multiply
    6,889.51x = 9,507.27 × 3,745.63
  4. Step 4: Simplify right side
    6,889.51x = 35,610,715.73
  5. Step 5: Solve for x
    x = 35,610,715.73/6,889.51
  6. Step 6: Final answer
    x = 5,168.83

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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.