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Finding the Fourth Proportional to 9,927.09, 13,698.25 and 5,892.48

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Solution

The fourth proportional to 9,927.09, 13,698.25 and 5,892.48 is: 8,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.09 : 13,698.25 = 5,892.48 : x
  2. Step 2: Convert to fraction form
    9,927.09/13,698.25 = 5,892.48/x
  3. Step 3: Cross multiply
    9,927.09x = 13,698.25 × 5,892.48
  4. Step 4: Simplify right side
    9,927.09x = 80,716,649.43
  5. Step 5: Solve for x
    x = 80,716,649.43/9,927.09
  6. Step 6: Final answer
    x = 8,130.95

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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.