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Finding the Fourth Proportional to 9,927, 13,699.46 and 5,450.74

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Solution

The fourth proportional to 9,927, 13,699.46 and 5,450.74 is: 7,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927 : 13,699.46 = 5,450.74 : x
  2. Step 2: Convert to fraction form
    9,927/13,699.46 = 5,450.74/x
  3. Step 3: Cross multiply
    9,927x = 13,699.46 × 5,450.74
  4. Step 4: Simplify right side
    9,927x = 74,672,194.60
  5. Step 5: Solve for x
    x = 74,672,194.60/9,927
  6. Step 6: Final answer
    x = 7,522.13

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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.