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Finding the Fourth Proportional to 6,850.78, 9,444.20 and 4,488.82

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Solution

The fourth proportional to 6,850.78, 9,444.20 and 4,488.82 is: 6,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.78 : 9,444.20 = 4,488.82 : x
  2. Step 2: Convert to fraction form
    6,850.78/9,444.20 = 4,488.82/x
  3. Step 3: Cross multiply
    6,850.78x = 9,444.20 × 4,488.82
  4. Step 4: Simplify right side
    6,850.78x = 42,393,267.79
  5. Step 5: Solve for x
    x = 42,393,267.79/6,850.78
  6. Step 6: Final answer
    x = 6,188.10

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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.