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Finding the Fourth Proportional to 9,519, 14,278.89 and 2,945.31

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Solution

The fourth proportional to 9,519, 14,278.89 and 2,945.31 is: 4,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519 : 14,278.89 = 2,945.31 : x
  2. Step 2: Convert to fraction form
    9,519/14,278.89 = 2,945.31/x
  3. Step 3: Cross multiply
    9,519x = 14,278.89 × 2,945.31
  4. Step 4: Simplify right side
    9,519x = 42,055,757.51
  5. Step 5: Solve for x
    x = 42,055,757.51/9,519
  6. Step 6: Final answer
    x = 4,418.09

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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.