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Finding the Fourth Proportional to 9,927.21, 13,699.71 and 5,451.38

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Solution

The fourth proportional to 9,927.21, 13,699.71 and 5,451.38 is: 7,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.21 : 13,699.71 = 5,451.38 : x
  2. Step 2: Convert to fraction form
    9,927.21/13,699.71 = 5,451.38/x
  3. Step 3: Cross multiply
    9,927.21x = 13,699.71 × 5,451.38
  4. Step 4: Simplify right side
    9,927.21x = 74,682,256.60
  5. Step 5: Solve for x
    x = 74,682,256.60/9,927.21
  6. Step 6: Final answer
    x = 7,522.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.