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Finding the Fourth Proportional to 9,027.64, 12,454.32 and 6,006.34

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Solution

The fourth proportional to 9,027.64, 12,454.32 and 6,006.34 is: 8,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.64 : 12,454.32 = 6,006.34 : x
  2. Step 2: Convert to fraction form
    9,027.64/12,454.32 = 6,006.34/x
  3. Step 3: Cross multiply
    9,027.64x = 12,454.32 × 6,006.34
  4. Step 4: Simplify right side
    9,027.64x = 74,804,880.39
  5. Step 5: Solve for x
    x = 74,804,880.39/9,027.64
  6. Step 6: Final answer
    x = 8,286.21

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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.