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Finding the Fourth Proportional to 9,201.94, 13,791.30 and 4,985.01

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Solution

The fourth proportional to 9,201.94, 13,791.30 and 4,985.01 is: 7,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.94 : 13,791.30 = 4,985.01 : x
  2. Step 2: Convert to fraction form
    9,201.94/13,791.30 = 4,985.01/x
  3. Step 3: Cross multiply
    9,201.94x = 13,791.30 × 4,985.01
  4. Step 4: Simplify right side
    9,201.94x = 68,749,749.72
  5. Step 5: Solve for x
    x = 68,749,749.72/9,201.94
  6. Step 6: Final answer
    x = 7,471.23

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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.