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Finding the Fourth Proportional to 6,780.52, 9,359.70 and 4,423.24

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Solution

The fourth proportional to 6,780.52, 9,359.70 and 4,423.24 is: 6,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.52 : 9,359.70 = 4,423.24 : x
  2. Step 2: Convert to fraction form
    6,780.52/9,359.70 = 4,423.24/x
  3. Step 3: Cross multiply
    6,780.52x = 9,359.70 × 4,423.24
  4. Step 4: Simplify right side
    6,780.52x = 41,400,199.43
  5. Step 5: Solve for x
    x = 41,400,199.43/6,780.52
  6. Step 6: Final answer
    x = 6,105.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.