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Finding the Fourth Proportional to 9,851.02, 13,594.54 and 5,874.44

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Solution

The fourth proportional to 9,851.02, 13,594.54 and 5,874.44 is: 8,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.02 : 13,594.54 = 5,874.44 : x
  2. Step 2: Convert to fraction form
    9,851.02/13,594.54 = 5,874.44/x
  3. Step 3: Cross multiply
    9,851.02x = 13,594.54 × 5,874.44
  4. Step 4: Simplify right side
    9,851.02x = 79,860,309.56
  5. Step 5: Solve for x
    x = 79,860,309.56/9,851.02
  6. Step 6: Final answer
    x = 8,106.81

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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.