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Finding the Fourth Proportional to 9,969.80, 13,759.56 and 5,777.24

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Solution

The fourth proportional to 9,969.80, 13,759.56 and 5,777.24 is: 7,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.80 : 13,759.56 = 5,777.24 : x
  2. Step 2: Convert to fraction form
    9,969.80/13,759.56 = 5,777.24/x
  3. Step 3: Cross multiply
    9,969.80x = 13,759.56 × 5,777.24
  4. Step 4: Simplify right side
    9,969.80x = 79,492,280.41
  5. Step 5: Solve for x
    x = 79,492,280.41/9,969.80
  6. Step 6: Final answer
    x = 7,973.31

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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.