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Finding the Fourth Proportional to 6,378.18, 9,520.46 and 5,908.50

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Solution

The fourth proportional to 6,378.18, 9,520.46 and 5,908.50 is: 8,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.18 : 9,520.46 = 5,908.50 : x
  2. Step 2: Convert to fraction form
    6,378.18/9,520.46 = 5,908.50/x
  3. Step 3: Cross multiply
    6,378.18x = 9,520.46 × 5,908.50
  4. Step 4: Simplify right side
    6,378.18x = 56,251,666.23
  5. Step 5: Solve for x
    x = 56,251,666.23/6,378.18
  6. Step 6: Final answer
    x = 8,819.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.