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Finding the Fourth Proportional to 9,871.37, 13,621.87 and 6,094.74

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Solution

The fourth proportional to 9,871.37, 13,621.87 and 6,094.74 is: 8,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.37 : 13,621.87 = 6,094.74 : x
  2. Step 2: Convert to fraction form
    9,871.37/13,621.87 = 6,094.74/x
  3. Step 3: Cross multiply
    9,871.37x = 13,621.87 × 6,094.74
  4. Step 4: Simplify right side
    9,871.37x = 83,021,814.66
  5. Step 5: Solve for x
    x = 83,021,814.66/9,871.37
  6. Step 6: Final answer
    x = 8,410.37

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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.