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Finding the Fourth Proportional to 9,763.72, 14,624.31 and 5,069.57

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Solution

The fourth proportional to 9,763.72, 14,624.31 and 5,069.57 is: 7,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.72 : 14,624.31 = 5,069.57 : x
  2. Step 2: Convert to fraction form
    9,763.72/14,624.31 = 5,069.57/x
  3. Step 3: Cross multiply
    9,763.72x = 14,624.31 × 5,069.57
  4. Step 4: Simplify right side
    9,763.72x = 74,138,890.13
  5. Step 5: Solve for x
    x = 74,138,890.13/9,763.72
  6. Step 6: Final answer
    x = 7,593.31

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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.