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Finding the Fourth Proportional to 9,648.43, 14,473.50 and 3,803.65

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Solution

The fourth proportional to 9,648.43, 14,473.50 and 3,803.65 is: 5,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.43 : 14,473.50 = 3,803.65 : x
  2. Step 2: Convert to fraction form
    9,648.43/14,473.50 = 3,803.65/x
  3. Step 3: Cross multiply
    9,648.43x = 14,473.50 × 3,803.65
  4. Step 4: Simplify right side
    9,648.43x = 55,052,128.28
  5. Step 5: Solve for x
    x = 55,052,128.28/9,648.43
  6. Step 6: Final answer
    x = 5,705.81

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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.