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Finding the Fourth Proportional to 6,455.10, 9,682.65 and 6,357.90

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Solution

The fourth proportional to 6,455.10, 9,682.65 and 6,357.90 is: 9,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.10 : 9,682.65 = 6,357.90 : x
  2. Step 2: Convert to fraction form
    6,455.10/9,682.65 = 6,357.90/x
  3. Step 3: Cross multiply
    6,455.10x = 9,682.65 × 6,357.90
  4. Step 4: Simplify right side
    6,455.10x = 61,561,320.44
  5. Step 5: Solve for x
    x = 61,561,320.44/6,455.10
  6. Step 6: Final answer
    x = 9,536.85

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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.