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Finding the Fourth Proportional to 9,096, 13,644.40 and 2,522

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Solution

The fourth proportional to 9,096, 13,644.40 and 2,522 is: 3,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096 : 13,644.40 = 2,522 : x
  2. Step 2: Convert to fraction form
    9,096/13,644.40 = 2,522/x
  3. Step 3: Cross multiply
    9,096x = 13,644.40 × 2,522
  4. Step 4: Simplify right side
    9,096x = 34,411,176.80
  5. Step 5: Solve for x
    x = 34,411,176.80/9,096
  6. Step 6: Final answer
    x = 3,783.11

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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.