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Finding the Fourth Proportional to 9,561.36, 13,195.14 and 5,583.44

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Solution

The fourth proportional to 9,561.36, 13,195.14 and 5,583.44 is: 7,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.36 : 13,195.14 = 5,583.44 : x
  2. Step 2: Convert to fraction form
    9,561.36/13,195.14 = 5,583.44/x
  3. Step 3: Cross multiply
    9,561.36x = 13,195.14 × 5,583.44
  4. Step 4: Simplify right side
    9,561.36x = 73,674,272.48
  5. Step 5: Solve for x
    x = 73,674,272.48/9,561.36
  6. Step 6: Final answer
    x = 7,705.42

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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.