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Finding the Fourth Proportional to 6,656.37, 9,182.79 and 3,823.04

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Solution

The fourth proportional to 6,656.37, 9,182.79 and 3,823.04 is: 5,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.37 : 9,182.79 = 3,823.04 : x
  2. Step 2: Convert to fraction form
    6,656.37/9,182.79 = 3,823.04/x
  3. Step 3: Cross multiply
    6,656.37x = 9,182.79 × 3,823.04
  4. Step 4: Simplify right side
    6,656.37x = 35,106,173.48
  5. Step 5: Solve for x
    x = 35,106,173.48/6,656.37
  6. Step 6: Final answer
    x = 5,274.07

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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.