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Finding the Fourth Proportional to 7,105.41, 9,805.91 and 3,918.69

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Solution

The fourth proportional to 7,105.41, 9,805.91 and 3,918.69 is: 5,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.41 : 9,805.91 = 3,918.69 : x
  2. Step 2: Convert to fraction form
    7,105.41/9,805.91 = 3,918.69/x
  3. Step 3: Cross multiply
    7,105.41x = 9,805.91 × 3,918.69
  4. Step 4: Simplify right side
    7,105.41x = 38,426,301.86
  5. Step 5: Solve for x
    x = 38,426,301.86/7,105.41
  6. Step 6: Final answer
    x = 5,408.03

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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.