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Finding the Fourth Proportional to 9,100.10, 13,654.47 and 3,257.30

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Solution

The fourth proportional to 9,100.10, 13,654.47 and 3,257.30 is: 4,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.10 : 13,654.47 = 3,257.30 : x
  2. Step 2: Convert to fraction form
    9,100.10/13,654.47 = 3,257.30/x
  3. Step 3: Cross multiply
    9,100.10x = 13,654.47 × 3,257.30
  4. Step 4: Simplify right side
    9,100.10x = 44,476,705.13
  5. Step 5: Solve for x
    x = 44,476,705.13/9,100.10
  6. Step 6: Final answer
    x = 4,887.50

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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.