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Finding the Fourth Proportional to 9,051.46, 13,578.63 and 3,857.38

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Solution

The fourth proportional to 9,051.46, 13,578.63 and 3,857.38 is: 5,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.46 : 13,578.63 = 3,857.38 : x
  2. Step 2: Convert to fraction form
    9,051.46/13,578.63 = 3,857.38/x
  3. Step 3: Cross multiply
    9,051.46x = 13,578.63 × 3,857.38
  4. Step 4: Simplify right side
    9,051.46x = 52,377,935.79
  5. Step 5: Solve for x
    x = 52,377,935.79/9,051.46
  6. Step 6: Final answer
    x = 5,786.68

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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.