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Finding the Fourth Proportional to 6,455.82, 9,684.48 and 2,758.47

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Solution

The fourth proportional to 6,455.82, 9,684.48 and 2,758.47 is: 4,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.82 : 9,684.48 = 2,758.47 : x
  2. Step 2: Convert to fraction form
    6,455.82/9,684.48 = 2,758.47/x
  3. Step 3: Cross multiply
    6,455.82x = 9,684.48 × 2,758.47
  4. Step 4: Simplify right side
    6,455.82x = 26,714,347.55
  5. Step 5: Solve for x
    x = 26,714,347.55/6,455.82
  6. Step 6: Final answer
    x = 4,138.03

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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.