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Finding the Fourth Proportional to 9,855.64, 13,600.94 and 5,879.08

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Solution

The fourth proportional to 9,855.64, 13,600.94 and 5,879.08 is: 8,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.64 : 13,600.94 = 5,879.08 : x
  2. Step 2: Convert to fraction form
    9,855.64/13,600.94 = 5,879.08/x
  3. Step 3: Cross multiply
    9,855.64x = 13,600.94 × 5,879.08
  4. Step 4: Simplify right side
    9,855.64x = 79,961,014.34
  5. Step 5: Solve for x
    x = 79,961,014.34/9,855.64
  6. Step 6: Final answer
    x = 8,113.22

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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.