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Finding the Fourth Proportional to 9,654.26, 14,448.48 and 8,096

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Solution

The fourth proportional to 9,654.26, 14,448.48 and 8,096 is: 12,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.26 : 14,448.48 = 8,096 : x
  2. Step 2: Convert to fraction form
    9,654.26/14,448.48 = 8,096/x
  3. Step 3: Cross multiply
    9,654.26x = 14,448.48 × 8,096
  4. Step 4: Simplify right side
    9,654.26x = 116,974,894.08
  5. Step 5: Solve for x
    x = 116,974,894.08/9,654.26
  6. Step 6: Final answer
    x = 12,116.40

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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.