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Finding the Fourth Proportional to 9,805.44, 13,533.12 and 7,161.60

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Solution

The fourth proportional to 9,805.44, 13,533.12 and 7,161.60 is: 9,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.44 : 13,533.12 = 7,161.60 : x
  2. Step 2: Convert to fraction form
    9,805.44/13,533.12 = 7,161.60/x
  3. Step 3: Cross multiply
    9,805.44x = 13,533.12 × 7,161.60
  4. Step 4: Simplify right side
    9,805.44x = 96,918,792.19
  5. Step 5: Solve for x
    x = 96,918,792.19/9,805.44
  6. Step 6: Final answer
    x = 9,884.19

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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.