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Finding the Fourth Proportional to 9,452.26, 14,170.18 and 6,813.28

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Solution

The fourth proportional to 9,452.26, 14,170.18 and 6,813.28 is: 10,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.26 : 14,170.18 = 6,813.28 : x
  2. Step 2: Convert to fraction form
    9,452.26/14,170.18 = 6,813.28/x
  3. Step 3: Cross multiply
    9,452.26x = 14,170.18 × 6,813.28
  4. Step 4: Simplify right side
    9,452.26x = 96,545,403.99
  5. Step 5: Solve for x
    x = 96,545,403.99/9,452.26
  6. Step 6: Final answer
    x = 10,214.00

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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.