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Finding the Fourth Proportional to 9,111, 13,666.26 and 2,536.92

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Solution

The fourth proportional to 9,111, 13,666.26 and 2,536.92 is: 3,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111 : 13,666.26 = 2,536.92 : x
  2. Step 2: Convert to fraction form
    9,111/13,666.26 = 2,536.92/x
  3. Step 3: Cross multiply
    9,111x = 13,666.26 × 2,536.92
  4. Step 4: Simplify right side
    9,111x = 34,670,208.32
  5. Step 5: Solve for x
    x = 34,670,208.32/9,111
  6. Step 6: Final answer
    x = 3,805.31

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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.