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Finding the Fourth Proportional to 6,455.14, 8,909.51 and 4,096.82

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Solution

The fourth proportional to 6,455.14, 8,909.51 and 4,096.82 is: 5,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.14 : 8,909.51 = 4,096.82 : x
  2. Step 2: Convert to fraction form
    6,455.14/8,909.51 = 4,096.82/x
  3. Step 3: Cross multiply
    6,455.14x = 8,909.51 × 4,096.82
  4. Step 4: Simplify right side
    6,455.14x = 36,500,658.76
  5. Step 5: Solve for x
    x = 36,500,658.76/6,455.14
  6. Step 6: Final answer
    x = 5,654.51

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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.