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Finding the Fourth Proportional to 6,723.58, 9,275.43 and 4,204.06

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Solution

The fourth proportional to 6,723.58, 9,275.43 and 4,204.06 is: 5,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.58 : 9,275.43 = 4,204.06 : x
  2. Step 2: Convert to fraction form
    6,723.58/9,275.43 = 4,204.06/x
  3. Step 3: Cross multiply
    6,723.58x = 9,275.43 × 4,204.06
  4. Step 4: Simplify right side
    6,723.58x = 38,994,464.25
  5. Step 5: Solve for x
    x = 38,994,464.25/6,723.58
  6. Step 6: Final answer
    x = 5,799.66

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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.