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Finding the Fourth Proportional to 9,181.76, 13,772.63 and 2,256.26

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Solution

The fourth proportional to 9,181.76, 13,772.63 and 2,256.26 is: 3,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.76 : 13,772.63 = 2,256.26 : x
  2. Step 2: Convert to fraction form
    9,181.76/13,772.63 = 2,256.26/x
  3. Step 3: Cross multiply
    9,181.76x = 13,772.63 × 2,256.26
  4. Step 4: Simplify right side
    9,181.76x = 31,074,570.94
  5. Step 5: Solve for x
    x = 31,074,570.94/9,181.76
  6. Step 6: Final answer
    x = 3,384.38

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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.