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Finding the Fourth Proportional to 6,458.37, 9,686.27 and 1,777.17

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Solution

The fourth proportional to 6,458.37, 9,686.27 and 1,777.17 is: 2,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.37 : 9,686.27 = 1,777.17 : x
  2. Step 2: Convert to fraction form
    6,458.37/9,686.27 = 1,777.17/x
  3. Step 3: Cross multiply
    6,458.37x = 9,686.27 × 1,777.17
  4. Step 4: Simplify right side
    6,458.37x = 17,214,091.14
  5. Step 5: Solve for x
    x = 17,214,091.14/6,458.37
  6. Step 6: Final answer
    x = 2,665.39

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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.