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Finding the Fourth Proportional to 9,145.29, 13,716.52 and 2,904.49

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Solution

The fourth proportional to 9,145.29, 13,716.52 and 2,904.49 is: 4,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.29 : 13,716.52 = 2,904.49 : x
  2. Step 2: Convert to fraction form
    9,145.29/13,716.52 = 2,904.49/x
  3. Step 3: Cross multiply
    9,145.29x = 13,716.52 × 2,904.49
  4. Step 4: Simplify right side
    9,145.29x = 39,839,453.62
  5. Step 5: Solve for x
    x = 39,839,453.62/9,145.29
  6. Step 6: Final answer
    x = 4,356.28

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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.