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Finding the Fourth Proportional to 9,811.93, 13,539.75 and 5,563.07

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Solution

The fourth proportional to 9,811.93, 13,539.75 and 5,563.07 is: 7,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.93 : 13,539.75 = 5,563.07 : x
  2. Step 2: Convert to fraction form
    9,811.93/13,539.75 = 5,563.07/x
  3. Step 3: Cross multiply
    9,811.93x = 13,539.75 × 5,563.07
  4. Step 4: Simplify right side
    9,811.93x = 75,322,577.03
  5. Step 5: Solve for x
    x = 75,322,577.03/9,811.93
  6. Step 6: Final answer
    x = 7,676.64

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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.