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Finding the Fourth Proportional to 9,819.22, 13,546.10 and 5,838.16

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Solution

The fourth proportional to 9,819.22, 13,546.10 and 5,838.16 is: 8,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.22 : 13,546.10 = 5,838.16 : x
  2. Step 2: Convert to fraction form
    9,819.22/13,546.10 = 5,838.16/x
  3. Step 3: Cross multiply
    9,819.22x = 13,546.10 × 5,838.16
  4. Step 4: Simplify right side
    9,819.22x = 79,084,299.18
  5. Step 5: Solve for x
    x = 79,084,299.18/9,819.22
  6. Step 6: Final answer
    x = 8,054.03

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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.