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Finding the Fourth Proportional to 6,684.35, 9,224.63 and 3,851.51

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Solution

The fourth proportional to 6,684.35, 9,224.63 and 3,851.51 is: 5,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.35 : 9,224.63 = 3,851.51 : x
  2. Step 2: Convert to fraction form
    6,684.35/9,224.63 = 3,851.51/x
  3. Step 3: Cross multiply
    6,684.35x = 9,224.63 × 3,851.51
  4. Step 4: Simplify right side
    6,684.35x = 35,528,712.37
  5. Step 5: Solve for x
    x = 35,528,712.37/6,684.35
  6. Step 6: Final answer
    x = 5,315.21

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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.