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Finding the Fourth Proportional to 9,832.19, 13,566.89 and 5,639.63

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Solution

The fourth proportional to 9,832.19, 13,566.89 and 5,639.63 is: 7,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.19 : 13,566.89 = 5,639.63 : x
  2. Step 2: Convert to fraction form
    9,832.19/13,566.89 = 5,639.63/x
  3. Step 3: Cross multiply
    9,832.19x = 13,566.89 × 5,639.63
  4. Step 4: Simplify right side
    9,832.19x = 76,512,186.12
  5. Step 5: Solve for x
    x = 76,512,186.12/9,832.19
  6. Step 6: Final answer
    x = 7,781.81

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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.