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Finding the Fourth Proportional to 9,109.88, 13,664.87 and 2,536.08

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Solution

The fourth proportional to 9,109.88, 13,664.87 and 2,536.08 is: 3,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.88 : 13,664.87 = 2,536.08 : x
  2. Step 2: Convert to fraction form
    9,109.88/13,664.87 = 2,536.08/x
  3. Step 3: Cross multiply
    9,109.88x = 13,664.87 × 2,536.08
  4. Step 4: Simplify right side
    9,109.88x = 34,655,149.10
  5. Step 5: Solve for x
    x = 34,655,149.10/9,109.88
  6. Step 6: Final answer
    x = 3,804.13

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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.