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Finding the Fourth Proportional to 9,649.56, 14,475.39 and 3,074.22

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Solution

The fourth proportional to 9,649.56, 14,475.39 and 3,074.22 is: 4,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.56 : 14,475.39 = 3,074.22 : x
  2. Step 2: Convert to fraction form
    9,649.56/14,475.39 = 3,074.22/x
  3. Step 3: Cross multiply
    9,649.56x = 14,475.39 × 3,074.22
  4. Step 4: Simplify right side
    9,649.56x = 44,500,533.45
  5. Step 5: Solve for x
    x = 44,500,533.45/9,649.56
  6. Step 6: Final answer
    x = 4,611.66

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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.