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Finding the Fourth Proportional to 9,182.01, 13,782.12 and 4,252.74

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Solution

The fourth proportional to 9,182.01, 13,782.12 and 4,252.74 is: 6,383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.01 : 13,782.12 = 4,252.74 : x
  2. Step 2: Convert to fraction form
    9,182.01/13,782.12 = 4,252.74/x
  3. Step 3: Cross multiply
    9,182.01x = 13,782.12 × 4,252.74
  4. Step 4: Simplify right side
    9,182.01x = 58,611,773.01
  5. Step 5: Solve for x
    x = 58,611,773.01/9,182.01
  6. Step 6: Final answer
    x = 6,383.33

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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.