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Finding the Fourth Proportional to 9,104.95, 13,654.99 and 2,531.50

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Solution

The fourth proportional to 9,104.95, 13,654.99 and 2,531.50 is: 3,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.95 : 13,654.99 = 2,531.50 : x
  2. Step 2: Convert to fraction form
    9,104.95/13,654.99 = 2,531.50/x
  3. Step 3: Cross multiply
    9,104.95x = 13,654.99 × 2,531.50
  4. Step 4: Simplify right side
    9,104.95x = 34,567,566.72
  5. Step 5: Solve for x
    x = 34,567,566.72/9,104.95
  6. Step 6: Final answer
    x = 3,796.57

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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.