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Finding the Fourth Proportional to 9,157.44, 13,733.16 and 3,000

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Solution

The fourth proportional to 9,157.44, 13,733.16 and 3,000 is: 4,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.44 : 13,733.16 = 3,000 : x
  2. Step 2: Convert to fraction form
    9,157.44/13,733.16 = 3,000/x
  3. Step 3: Cross multiply
    9,157.44x = 13,733.16 × 3,000
  4. Step 4: Simplify right side
    9,157.44x = 41,199,480
  5. Step 5: Solve for x
    x = 41,199,480/9,157.44
  6. Step 6: Final answer
    x = 4,499.02

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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.