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Finding the Fourth Proportional to 9,847.24, 14,754.44 and 7,069.74

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Solution

The fourth proportional to 9,847.24, 14,754.44 and 7,069.74 is: 10,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.24 : 14,754.44 = 7,069.74 : x
  2. Step 2: Convert to fraction form
    9,847.24/14,754.44 = 7,069.74/x
  3. Step 3: Cross multiply
    9,847.24x = 14,754.44 × 7,069.74
  4. Step 4: Simplify right side
    9,847.24x = 104,310,054.65
  5. Step 5: Solve for x
    x = 104,310,054.65/9,847.24
  6. Step 6: Final answer
    x = 10,592.82

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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.