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Finding the Fourth Proportional to 9,097.12, 13,651.95 and 3,174.04

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Solution

The fourth proportional to 9,097.12, 13,651.95 and 3,174.04 is: 4,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.12 : 13,651.95 = 3,174.04 : x
  2. Step 2: Convert to fraction form
    9,097.12/13,651.95 = 3,174.04/x
  3. Step 3: Cross multiply
    9,097.12x = 13,651.95 × 3,174.04
  4. Step 4: Simplify right side
    9,097.12x = 43,331,819.51
  5. Step 5: Solve for x
    x = 43,331,819.51/9,097.12
  6. Step 6: Final answer
    x = 4,763.25

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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.