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Finding the Fourth Proportional to 9,846.63, 13,589.16 and 5,599.03

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Solution

The fourth proportional to 9,846.63, 13,589.16 and 5,599.03 is: 7,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.63 : 13,589.16 = 5,599.03 : x
  2. Step 2: Convert to fraction form
    9,846.63/13,589.16 = 5,599.03/x
  3. Step 3: Cross multiply
    9,846.63x = 13,589.16 × 5,599.03
  4. Step 4: Simplify right side
    9,846.63x = 76,086,114.51
  5. Step 5: Solve for x
    x = 76,086,114.51/9,846.63
  6. Step 6: Final answer
    x = 7,727.12

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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.