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Finding the Fourth Proportional to 9,090.82, 13,636.55 and 2,517.50

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Solution

The fourth proportional to 9,090.82, 13,636.55 and 2,517.50 is: 3,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.82 : 13,636.55 = 2,517.50 : x
  2. Step 2: Convert to fraction form
    9,090.82/13,636.55 = 2,517.50/x
  3. Step 3: Cross multiply
    9,090.82x = 13,636.55 × 2,517.50
  4. Step 4: Simplify right side
    9,090.82x = 34,330,014.63
  5. Step 5: Solve for x
    x = 34,330,014.63/9,090.82
  6. Step 6: Final answer
    x = 3,776.34

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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.