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Finding the Fourth Proportional to 9,310.21, 13,965.50 and 3,465.64

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Solution

The fourth proportional to 9,310.21, 13,965.50 and 3,465.64 is: 5,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.21 : 13,965.50 = 3,465.64 : x
  2. Step 2: Convert to fraction form
    9,310.21/13,965.50 = 3,465.64/x
  3. Step 3: Cross multiply
    9,310.21x = 13,965.50 × 3,465.64
  4. Step 4: Simplify right side
    9,310.21x = 48,399,395.42
  5. Step 5: Solve for x
    x = 48,399,395.42/9,310.21
  6. Step 6: Final answer
    x = 5,198.53

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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.