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Finding the Fourth Proportional to 9,905.44, 13,666.26 and 5,926

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Solution

The fourth proportional to 9,905.44, 13,666.26 and 5,926 is: 8,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.44 : 13,666.26 = 5,926 : x
  2. Step 2: Convert to fraction form
    9,905.44/13,666.26 = 5,926/x
  3. Step 3: Cross multiply
    9,905.44x = 13,666.26 × 5,926
  4. Step 4: Simplify right side
    9,905.44x = 80,986,256.76
  5. Step 5: Solve for x
    x = 80,986,256.76/9,905.44
  6. Step 6: Final answer
    x = 8,175.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.