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Finding the Fourth Proportional to 9,852.12, 14,791.85 and 6,168.84

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Solution

The fourth proportional to 9,852.12, 14,791.85 and 6,168.84 is: 9,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.12 : 14,791.85 = 6,168.84 : x
  2. Step 2: Convert to fraction form
    9,852.12/14,791.85 = 6,168.84/x
  3. Step 3: Cross multiply
    9,852.12x = 14,791.85 × 6,168.84
  4. Step 4: Simplify right side
    9,852.12x = 91,248,525.11
  5. Step 5: Solve for x
    x = 91,248,525.11/9,852.12
  6. Step 6: Final answer
    x = 9,261.82

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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.