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Finding the Fourth Proportional to 9,181.84, 13,772.52 and 2,256.40

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Solution

The fourth proportional to 9,181.84, 13,772.52 and 2,256.40 is: 3,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.84 : 13,772.52 = 2,256.40 : x
  2. Step 2: Convert to fraction form
    9,181.84/13,772.52 = 2,256.40/x
  3. Step 3: Cross multiply
    9,181.84x = 13,772.52 × 2,256.40
  4. Step 4: Simplify right side
    9,181.84x = 31,076,314.13
  5. Step 5: Solve for x
    x = 31,076,314.13/9,181.84
  6. Step 6: Final answer
    x = 3,384.54

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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.