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Finding the Fourth Proportional to 9,224.46, 13,828.47 and 3,379.70

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Solution

The fourth proportional to 9,224.46, 13,828.47 and 3,379.70 is: 5,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.46 : 13,828.47 = 3,379.70 : x
  2. Step 2: Convert to fraction form
    9,224.46/13,828.47 = 3,379.70/x
  3. Step 3: Cross multiply
    9,224.46x = 13,828.47 × 3,379.70
  4. Step 4: Simplify right side
    9,224.46x = 46,736,114.63
  5. Step 5: Solve for x
    x = 46,736,114.63/9,224.46
  6. Step 6: Final answer
    x = 5,066.54

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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.