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Finding the Fourth Proportional to 9,833.78, 13,570.68 and 5,855.04

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Solution

The fourth proportional to 9,833.78, 13,570.68 and 5,855.04 is: 8,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.78 : 13,570.68 = 5,855.04 : x
  2. Step 2: Convert to fraction form
    9,833.78/13,570.68 = 5,855.04/x
  3. Step 3: Cross multiply
    9,833.78x = 13,570.68 × 5,855.04
  4. Step 4: Simplify right side
    9,833.78x = 79,456,874.23
  5. Step 5: Solve for x
    x = 79,456,874.23/9,833.78
  6. Step 6: Final answer
    x = 8,079.99

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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.