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Finding the Fourth Proportional to 7,144.05, 9,858.56 and 3,957.22

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Solution

The fourth proportional to 7,144.05, 9,858.56 and 3,957.22 is: 5,460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.05 : 9,858.56 = 3,957.22 : x
  2. Step 2: Convert to fraction form
    7,144.05/9,858.56 = 3,957.22/x
  3. Step 3: Cross multiply
    7,144.05x = 9,858.56 × 3,957.22
  4. Step 4: Simplify right side
    7,144.05x = 39,012,441.51
  5. Step 5: Solve for x
    x = 39,012,441.51/7,144.05
  6. Step 6: Final answer
    x = 5,460.83

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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.