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Finding the Fourth Proportional to 6,274.35, 9,409.94 and 2,577.60

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Solution

The fourth proportional to 6,274.35, 9,409.94 and 2,577.60 is: 3,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.35 : 9,409.94 = 2,577.60 : x
  2. Step 2: Convert to fraction form
    6,274.35/9,409.94 = 2,577.60/x
  3. Step 3: Cross multiply
    6,274.35x = 9,409.94 × 2,577.60
  4. Step 4: Simplify right side
    6,274.35x = 24,255,007.85
  5. Step 5: Solve for x
    x = 24,255,007.85/6,274.35
  6. Step 6: Final answer
    x = 3,865.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.