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Finding the Fourth Proportional to 6,317.46, 9,464.08 and 3,535.72

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Solution

The fourth proportional to 6,317.46, 9,464.08 and 3,535.72 is: 5,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.46 : 9,464.08 = 3,535.72 : x
  2. Step 2: Convert to fraction form
    6,317.46/9,464.08 = 3,535.72/x
  3. Step 3: Cross multiply
    6,317.46x = 9,464.08 × 3,535.72
  4. Step 4: Simplify right side
    6,317.46x = 33,462,336.94
  5. Step 5: Solve for x
    x = 33,462,336.94/6,317.46
  6. Step 6: Final answer
    x = 5,296.80

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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.