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Finding the Fourth Proportional to 6,112.36, 9,158.92 and 4,729.04

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Solution

The fourth proportional to 6,112.36, 9,158.92 and 4,729.04 is: 7,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.36 : 9,158.92 = 4,729.04 : x
  2. Step 2: Convert to fraction form
    6,112.36/9,158.92 = 4,729.04/x
  3. Step 3: Cross multiply
    6,112.36x = 9,158.92 × 4,729.04
  4. Step 4: Simplify right side
    6,112.36x = 43,312,899.04
  5. Step 5: Solve for x
    x = 43,312,899.04/6,112.36
  6. Step 6: Final answer
    x = 7,086.12

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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.