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Finding the Fourth Proportional to 11,733.93, 17,609.73 and 9,094.98

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Solution

The fourth proportional to 11,733.93, 17,609.73 and 9,094.98 is: 13,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.93 : 17,609.73 = 9,094.98 : x
  2. Step 2: Convert to fraction form
    11,733.93/17,609.73 = 9,094.98/x
  3. Step 3: Cross multiply
    11,733.93x = 17,609.73 × 9,094.98
  4. Step 4: Simplify right side
    11,733.93x = 160,160,142.16
  5. Step 5: Solve for x
    x = 160,160,142.16/11,733.93
  6. Step 6: Final answer
    x = 13,649.32

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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.