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Finding the Fourth Proportional to 6,209.40, 8,712.60 and 6,209.40

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Solution

The fourth proportional to 6,209.40, 8,712.60 and 6,209.40 is: 8,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.40 : 8,712.60 = 6,209.40 : x
  2. Step 2: Convert to fraction form
    6,209.40/8,712.60 = 6,209.40/x
  3. Step 3: Cross multiply
    6,209.40x = 8,712.60 × 6,209.40
  4. Step 4: Simplify right side
    6,209.40x = 54,100,018.44
  5. Step 5: Solve for x
    x = 54,100,018.44/6,209.40
  6. Step 6: Final answer
    x = 8,712.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.