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Finding the Fourth Proportional to 9,181.42, 13,774.38 and 2,941.45

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Solution

The fourth proportional to 9,181.42, 13,774.38 and 2,941.45 is: 4,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.42 : 13,774.38 = 2,941.45 : x
  2. Step 2: Convert to fraction form
    9,181.42/13,774.38 = 2,941.45/x
  3. Step 3: Cross multiply
    9,181.42x = 13,774.38 × 2,941.45
  4. Step 4: Simplify right side
    9,181.42x = 40,516,650.05
  5. Step 5: Solve for x
    x = 40,516,650.05/9,181.42
  6. Step 6: Final answer
    x = 4,412.90

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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.