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Finding the Fourth Proportional to 6,537.34, 9,023.84 and 3,884.76

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Solution

The fourth proportional to 6,537.34, 9,023.84 and 3,884.76 is: 5,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.34 : 9,023.84 = 3,884.76 : x
  2. Step 2: Convert to fraction form
    6,537.34/9,023.84 = 3,884.76/x
  3. Step 3: Cross multiply
    6,537.34x = 9,023.84 × 3,884.76
  4. Step 4: Simplify right side
    6,537.34x = 35,055,447.82
  5. Step 5: Solve for x
    x = 35,055,447.82/6,537.34
  6. Step 6: Final answer
    x = 5,362.34

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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.