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Finding the Fourth Proportional to 6,841.95, 9,441.84 and 4,009.87

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Solution

The fourth proportional to 6,841.95, 9,441.84 and 4,009.87 is: 5,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.95 : 9,441.84 = 4,009.87 : x
  2. Step 2: Convert to fraction form
    6,841.95/9,441.84 = 4,009.87/x
  3. Step 3: Cross multiply
    6,841.95x = 9,441.84 × 4,009.87
  4. Step 4: Simplify right side
    6,841.95x = 37,860,550.96
  5. Step 5: Solve for x
    x = 37,860,550.96/6,841.95
  6. Step 6: Final answer
    x = 5,533.59

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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.