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Finding the Fourth Proportional to 6,173.84, 9,257.88 and 3,577.52

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Solution

The fourth proportional to 6,173.84, 9,257.88 and 3,577.52 is: 5,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.84 : 9,257.88 = 3,577.52 : x
  2. Step 2: Convert to fraction form
    6,173.84/9,257.88 = 3,577.52/x
  3. Step 3: Cross multiply
    6,173.84x = 9,257.88 × 3,577.52
  4. Step 4: Simplify right side
    6,173.84x = 33,120,250.86
  5. Step 5: Solve for x
    x = 33,120,250.86/6,173.84
  6. Step 6: Final answer
    x = 5,364.61

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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.