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Finding the Fourth Proportional to 9,851.40, 13,596.71 and 5,872.77

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Solution

The fourth proportional to 9,851.40, 13,596.71 and 5,872.77 is: 8,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.40 : 13,596.71 = 5,872.77 : x
  2. Step 2: Convert to fraction form
    9,851.40/13,596.71 = 5,872.77/x
  3. Step 3: Cross multiply
    9,851.40x = 13,596.71 × 5,872.77
  4. Step 4: Simplify right side
    9,851.40x = 79,850,321.22
  5. Step 5: Solve for x
    x = 79,850,321.22/9,851.40
  6. Step 6: Final answer
    x = 8,105.48

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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.