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Finding the Fourth Proportional to 6,546.15, 9,802.82 and 5,224.23

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Solution

The fourth proportional to 6,546.15, 9,802.82 and 5,224.23 is: 7,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.15 : 9,802.82 = 5,224.23 : x
  2. Step 2: Convert to fraction form
    6,546.15/9,802.82 = 5,224.23/x
  3. Step 3: Cross multiply
    6,546.15x = 9,802.82 × 5,224.23
  4. Step 4: Simplify right side
    6,546.15x = 51,212,199.39
  5. Step 5: Solve for x
    x = 51,212,199.39/6,546.15
  6. Step 6: Final answer
    x = 7,823.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.