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Finding the Fourth Proportional to 6,109.95, 8,419.64 and 4,336.59

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Solution

The fourth proportional to 6,109.95, 8,419.64 and 4,336.59 is: 5,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.95 : 8,419.64 = 4,336.59 : x
  2. Step 2: Convert to fraction form
    6,109.95/8,419.64 = 4,336.59/x
  3. Step 3: Cross multiply
    6,109.95x = 8,419.64 × 4,336.59
  4. Step 4: Simplify right side
    6,109.95x = 36,512,504.94
  5. Step 5: Solve for x
    x = 36,512,504.94/6,109.95
  6. Step 6: Final answer
    x = 5,975.91

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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.