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Finding the Fourth Proportional to 9,109.98, 13,663.81 and 2,536.68

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Solution

The fourth proportional to 9,109.98, 13,663.81 and 2,536.68 is: 3,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.98 : 13,663.81 = 2,536.68 : x
  2. Step 2: Convert to fraction form
    9,109.98/13,663.81 = 2,536.68/x
  3. Step 3: Cross multiply
    9,109.98x = 13,663.81 × 2,536.68
  4. Step 4: Simplify right side
    9,109.98x = 34,660,713.55
  5. Step 5: Solve for x
    x = 34,660,713.55/9,109.98
  6. Step 6: Final answer
    x = 3,804.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.