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Finding the Fourth Proportional to 9,855.02, 13,600.06 and 5,878.43

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Solution

The fourth proportional to 9,855.02, 13,600.06 and 5,878.43 is: 8,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.02 : 13,600.06 = 5,878.43 : x
  2. Step 2: Convert to fraction form
    9,855.02/13,600.06 = 5,878.43/x
  3. Step 3: Cross multiply
    9,855.02x = 13,600.06 × 5,878.43
  4. Step 4: Simplify right side
    9,855.02x = 79,947,020.01
  5. Step 5: Solve for x
    x = 79,947,020.01/9,855.02
  6. Step 6: Final answer
    x = 8,112.32

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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.