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Finding the Fourth Proportional to 9,834.44, 13,573.50 and 5,857.88

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Solution

The fourth proportional to 9,834.44, 13,573.50 and 5,857.88 is: 8,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.44 : 13,573.50 = 5,857.88 : x
  2. Step 2: Convert to fraction form
    9,834.44/13,573.50 = 5,857.88/x
  3. Step 3: Cross multiply
    9,834.44x = 13,573.50 × 5,857.88
  4. Step 4: Simplify right side
    9,834.44x = 79,511,934.18
  5. Step 5: Solve for x
    x = 79,511,934.18/9,834.44
  6. Step 6: Final answer
    x = 8,085.05

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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.