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Finding the Fourth Proportional to 9,146.69, 13,722.66 and 3,883.92

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Solution

The fourth proportional to 9,146.69, 13,722.66 and 3,883.92 is: 5,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.69 : 13,722.66 = 3,883.92 : x
  2. Step 2: Convert to fraction form
    9,146.69/13,722.66 = 3,883.92/x
  3. Step 3: Cross multiply
    9,146.69x = 13,722.66 × 3,883.92
  4. Step 4: Simplify right side
    9,146.69x = 53,297,713.63
  5. Step 5: Solve for x
    x = 53,297,713.63/9,146.69
  6. Step 6: Final answer
    x = 5,827.00

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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.