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Finding the Fourth Proportional to 7,001.14, 9,661.57 and 3,857.33

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Solution

The fourth proportional to 7,001.14, 9,661.57 and 3,857.33 is: 5,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.14 : 9,661.57 = 3,857.33 : x
  2. Step 2: Convert to fraction form
    7,001.14/9,661.57 = 3,857.33/x
  3. Step 3: Cross multiply
    7,001.14x = 9,661.57 × 3,857.33
  4. Step 4: Simplify right side
    7,001.14x = 37,267,863.81
  5. Step 5: Solve for x
    x = 37,267,863.81/7,001.14
  6. Step 6: Final answer
    x = 5,323.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.