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Finding the Fourth Proportional to 6,556.16, 9,046.62 and 3,723.06

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Solution

The fourth proportional to 6,556.16, 9,046.62 and 3,723.06 is: 5,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.16 : 9,046.62 = 3,723.06 : x
  2. Step 2: Convert to fraction form
    6,556.16/9,046.62 = 3,723.06/x
  3. Step 3: Cross multiply
    6,556.16x = 9,046.62 × 3,723.06
  4. Step 4: Simplify right side
    6,556.16x = 33,681,109.06
  5. Step 5: Solve for x
    x = 33,681,109.06/6,556.16
  6. Step 6: Final answer
    x = 5,137.32

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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.