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Finding the Fourth Proportional to 6,149.36, 9,225.81 and 3,030.30

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Solution

The fourth proportional to 6,149.36, 9,225.81 and 3,030.30 is: 4,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.36 : 9,225.81 = 3,030.30 : x
  2. Step 2: Convert to fraction form
    6,149.36/9,225.81 = 3,030.30/x
  3. Step 3: Cross multiply
    6,149.36x = 9,225.81 × 3,030.30
  4. Step 4: Simplify right side
    6,149.36x = 27,956,972.04
  5. Step 5: Solve for x
    x = 27,956,972.04/6,149.36
  6. Step 6: Final answer
    x = 4,546.32

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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.