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Finding the Fourth Proportional to 9,734.44, 14,600.22 and 3,577

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Solution

The fourth proportional to 9,734.44, 14,600.22 and 3,577 is: 5,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.44 : 14,600.22 = 3,577 : x
  2. Step 2: Convert to fraction form
    9,734.44/14,600.22 = 3,577/x
  3. Step 3: Cross multiply
    9,734.44x = 14,600.22 × 3,577
  4. Step 4: Simplify right side
    9,734.44x = 52,224,986.94
  5. Step 5: Solve for x
    x = 52,224,986.94/9,734.44
  6. Step 6: Final answer
    x = 5,364.97

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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.