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Finding the Fourth Proportional to 9,181.64, 13,772.29 and 2,941.68

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Solution

The fourth proportional to 9,181.64, 13,772.29 and 2,941.68 is: 4,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.64 : 13,772.29 = 2,941.68 : x
  2. Step 2: Convert to fraction form
    9,181.64/13,772.29 = 2,941.68/x
  3. Step 3: Cross multiply
    9,181.64x = 13,772.29 × 2,941.68
  4. Step 4: Simplify right side
    9,181.64x = 40,513,662.69
  5. Step 5: Solve for x
    x = 40,513,662.69/9,181.64
  6. Step 6: Final answer
    x = 4,412.46

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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.