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Finding the Fourth Proportional to 9,727.34, 14,591.32 and 3,804

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Solution

The fourth proportional to 9,727.34, 14,591.32 and 3,804 is: 5,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.34 : 14,591.32 = 3,804 : x
  2. Step 2: Convert to fraction form
    9,727.34/14,591.32 = 3,804/x
  3. Step 3: Cross multiply
    9,727.34x = 14,591.32 × 3,804
  4. Step 4: Simplify right side
    9,727.34x = 55,505,381.28
  5. Step 5: Solve for x
    x = 55,505,381.28/9,727.34
  6. Step 6: Final answer
    x = 5,706.12

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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.