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Finding the Fourth Proportional to 9,860.72, 14,791.10 and 2,935.22

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Solution

The fourth proportional to 9,860.72, 14,791.10 and 2,935.22 is: 4,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.72 : 14,791.10 = 2,935.22 : x
  2. Step 2: Convert to fraction form
    9,860.72/14,791.10 = 2,935.22/x
  3. Step 3: Cross multiply
    9,860.72x = 14,791.10 × 2,935.22
  4. Step 4: Simplify right side
    9,860.72x = 43,415,132.54
  5. Step 5: Solve for x
    x = 43,415,132.54/9,860.72
  6. Step 6: Final answer
    x = 4,402.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.