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Finding the Fourth Proportional to 9,082.44, 13,620.78 and 2,925

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Solution

The fourth proportional to 9,082.44, 13,620.78 and 2,925 is: 4,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.44 : 13,620.78 = 2,925 : x
  2. Step 2: Convert to fraction form
    9,082.44/13,620.78 = 2,925/x
  3. Step 3: Cross multiply
    9,082.44x = 13,620.78 × 2,925
  4. Step 4: Simplify right side
    9,082.44x = 39,840,781.50
  5. Step 5: Solve for x
    x = 39,840,781.50/9,082.44
  6. Step 6: Final answer
    x = 4,386.57

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Why These Related Problems?

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