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Finding the Fourth Proportional to 6,404.73, 8,838.84 and 4,830.09

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Solution

The fourth proportional to 6,404.73, 8,838.84 and 4,830.09 is: 6,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.73 : 8,838.84 = 4,830.09 : x
  2. Step 2: Convert to fraction form
    6,404.73/8,838.84 = 4,830.09/x
  3. Step 3: Cross multiply
    6,404.73x = 8,838.84 × 4,830.09
  4. Step 4: Simplify right side
    6,404.73x = 42,692,392.70
  5. Step 5: Solve for x
    x = 42,692,392.70/6,404.73
  6. Step 6: Final answer
    x = 6,665.76

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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.