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Finding the Fourth Proportional to 9,968, 13,755.84 and 5,777.60

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Solution

The fourth proportional to 9,968, 13,755.84 and 5,777.60 is: 7,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968 : 13,755.84 = 5,777.60 : x
  2. Step 2: Convert to fraction form
    9,968/13,755.84 = 5,777.60/x
  3. Step 3: Cross multiply
    9,968x = 13,755.84 × 5,777.60
  4. Step 4: Simplify right side
    9,968x = 79,475,741.18
  5. Step 5: Solve for x
    x = 79,475,741.18/9,968
  6. Step 6: Final answer
    x = 7,973.09

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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.