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Finding the Fourth Proportional to 6,661.35, 9,192.42 and 4,009.05

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Solution

The fourth proportional to 6,661.35, 9,192.42 and 4,009.05 is: 5,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.35 : 9,192.42 = 4,009.05 : x
  2. Step 2: Convert to fraction form
    6,661.35/9,192.42 = 4,009.05/x
  3. Step 3: Cross multiply
    6,661.35x = 9,192.42 × 4,009.05
  4. Step 4: Simplify right side
    6,661.35x = 36,852,871.40
  5. Step 5: Solve for x
    x = 36,852,871.40/6,661.35
  6. Step 6: Final answer
    x = 5,532.34

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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.