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Finding the Fourth Proportional to 6,009.63, 8,292.42 and 3,651.32

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Solution

The fourth proportional to 6,009.63, 8,292.42 and 3,651.32 is: 5,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.63 : 8,292.42 = 3,651.32 : x
  2. Step 2: Convert to fraction form
    6,009.63/8,292.42 = 3,651.32/x
  3. Step 3: Cross multiply
    6,009.63x = 8,292.42 × 3,651.32
  4. Step 4: Simplify right side
    6,009.63x = 30,278,237.53
  5. Step 5: Solve for x
    x = 30,278,237.53/6,009.63
  6. Step 6: Final answer
    x = 5,038.29

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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.