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Finding the Fourth Proportional to 6,729.93, 9,287.52 and 4,211.24

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Solution

The fourth proportional to 6,729.93, 9,287.52 and 4,211.24 is: 5,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.93 : 9,287.52 = 4,211.24 : x
  2. Step 2: Convert to fraction form
    6,729.93/9,287.52 = 4,211.24/x
  3. Step 3: Cross multiply
    6,729.93x = 9,287.52 × 4,211.24
  4. Step 4: Simplify right side
    6,729.93x = 39,111,929.29
  5. Step 5: Solve for x
    x = 39,111,929.29/6,729.93
  6. Step 6: Final answer
    x = 5,811.64

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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.