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Finding the Fourth Proportional to 9,825.80, 13,559.92 and 5,577.05

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Solution

The fourth proportional to 9,825.80, 13,559.92 and 5,577.05 is: 7,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.80 : 13,559.92 = 5,577.05 : x
  2. Step 2: Convert to fraction form
    9,825.80/13,559.92 = 5,577.05/x
  3. Step 3: Cross multiply
    9,825.80x = 13,559.92 × 5,577.05
  4. Step 4: Simplify right side
    9,825.80x = 75,624,371.79
  5. Step 5: Solve for x
    x = 75,624,371.79/9,825.80
  6. Step 6: Final answer
    x = 7,696.51

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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.