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Finding the Fourth Proportional to 9,152.17, 13,716.26 and 5,205.25

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Solution

The fourth proportional to 9,152.17, 13,716.26 and 5,205.25 is: 7,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.17 : 13,716.26 = 5,205.25 : x
  2. Step 2: Convert to fraction form
    9,152.17/13,716.26 = 5,205.25/x
  3. Step 3: Cross multiply
    9,152.17x = 13,716.26 × 5,205.25
  4. Step 4: Simplify right side
    9,152.17x = 71,396,467.76
  5. Step 5: Solve for x
    x = 71,396,467.76/9,152.17
  6. Step 6: Final answer
    x = 7,801.04

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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.