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Finding the Fourth Proportional to 6,272.99, 9,409.43 and 1,529.09

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Solution

The fourth proportional to 6,272.99, 9,409.43 and 1,529.09 is: 2,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.99 : 9,409.43 = 1,529.09 : x
  2. Step 2: Convert to fraction form
    6,272.99/9,409.43 = 1,529.09/x
  3. Step 3: Cross multiply
    6,272.99x = 9,409.43 × 1,529.09
  4. Step 4: Simplify right side
    6,272.99x = 14,387,857.38
  5. Step 5: Solve for x
    x = 14,387,857.38/6,272.99
  6. Step 6: Final answer
    x = 2,293.62

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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.