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Finding the Fourth Proportional to 7,133, 9,843.34 and 3,989.20

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Solution

The fourth proportional to 7,133, 9,843.34 and 3,989.20 is: 5,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133 : 9,843.34 = 3,989.20 : x
  2. Step 2: Convert to fraction form
    7,133/9,843.34 = 3,989.20/x
  3. Step 3: Cross multiply
    7,133x = 9,843.34 × 3,989.20
  4. Step 4: Simplify right side
    7,133x = 39,267,051.93
  5. Step 5: Solve for x
    x = 39,267,051.93/7,133
  6. Step 6: Final answer
    x = 5,504.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.