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Finding the Fourth Proportional to 9,182.68, 13,759.34 and 5,893.08

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Solution

The fourth proportional to 9,182.68, 13,759.34 and 5,893.08 is: 8,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.68 : 13,759.34 = 5,893.08 : x
  2. Step 2: Convert to fraction form
    9,182.68/13,759.34 = 5,893.08/x
  3. Step 3: Cross multiply
    9,182.68x = 13,759.34 × 5,893.08
  4. Step 4: Simplify right side
    9,182.68x = 81,084,891.37
  5. Step 5: Solve for x
    x = 81,084,891.37/9,182.68
  6. Step 6: Final answer
    x = 8,830.20

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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.