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Finding the Fourth Proportional to 6,384.26, 8,814.52 and 4,889.50

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Solution

The fourth proportional to 6,384.26, 8,814.52 and 4,889.50 is: 6,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.26 : 8,814.52 = 4,889.50 : x
  2. Step 2: Convert to fraction form
    6,384.26/8,814.52 = 4,889.50/x
  3. Step 3: Cross multiply
    6,384.26x = 8,814.52 × 4,889.50
  4. Step 4: Simplify right side
    6,384.26x = 43,098,595.54
  5. Step 5: Solve for x
    x = 43,098,595.54/6,384.26
  6. Step 6: Final answer
    x = 6,750.76

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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.