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Finding the Fourth Proportional to 7,001.05, 9,661.36 and 3,857.17

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Solution

The fourth proportional to 7,001.05, 9,661.36 and 3,857.17 is: 5,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.05 : 9,661.36 = 3,857.17 : x
  2. Step 2: Convert to fraction form
    7,001.05/9,661.36 = 3,857.17/x
  3. Step 3: Cross multiply
    7,001.05x = 9,661.36 × 3,857.17
  4. Step 4: Simplify right side
    7,001.05x = 37,265,507.95
  5. Step 5: Solve for x
    x = 37,265,507.95/7,001.05
  6. Step 6: Final answer
    x = 5,322.85

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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.