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Finding the Fourth Proportional to 9,791.09, 14,674.60 and 3,862.02

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Solution

The fourth proportional to 9,791.09, 14,674.60 and 3,862.02 is: 5,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.09 : 14,674.60 = 3,862.02 : x
  2. Step 2: Convert to fraction form
    9,791.09/14,674.60 = 3,862.02/x
  3. Step 3: Cross multiply
    9,791.09x = 14,674.60 × 3,862.02
  4. Step 4: Simplify right side
    9,791.09x = 56,673,598.69
  5. Step 5: Solve for x
    x = 56,673,598.69/9,791.09
  6. Step 6: Final answer
    x = 5,788.29

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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.