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Finding the Fourth Proportional to 10,563.65, 14,605.67 and 9,251.45

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Solution

The fourth proportional to 10,563.65, 14,605.67 and 9,251.45 is: 12,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.65 : 14,605.67 = 9,251.45 : x
  2. Step 2: Convert to fraction form
    10,563.65/14,605.67 = 9,251.45/x
  3. Step 3: Cross multiply
    10,563.65x = 14,605.67 × 9,251.45
  4. Step 4: Simplify right side
    10,563.65x = 135,123,579.46
  5. Step 5: Solve for x
    x = 135,123,579.46/10,563.65
  6. Step 6: Final answer
    x = 12,791.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.