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Finding the Fourth Proportional to 6,780.07, 9,351.67 and 6,222.34

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Solution

The fourth proportional to 6,780.07, 9,351.67 and 6,222.34 is: 8,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.07 : 9,351.67 = 6,222.34 : x
  2. Step 2: Convert to fraction form
    6,780.07/9,351.67 = 6,222.34/x
  3. Step 3: Cross multiply
    6,780.07x = 9,351.67 × 6,222.34
  4. Step 4: Simplify right side
    6,780.07x = 58,189,270.31
  5. Step 5: Solve for x
    x = 58,189,270.31/6,780.07
  6. Step 6: Final answer
    x = 8,582.40

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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.