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Finding the Fourth Proportional to 6,189.65, 9,285.83 and 3,071.35

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Solution

The fourth proportional to 6,189.65, 9,285.83 and 3,071.35 is: 4,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.65 : 9,285.83 = 3,071.35 : x
  2. Step 2: Convert to fraction form
    6,189.65/9,285.83 = 3,071.35/x
  3. Step 3: Cross multiply
    6,189.65x = 9,285.83 × 3,071.35
  4. Step 4: Simplify right side
    6,189.65x = 28,520,033.97
  5. Step 5: Solve for x
    x = 28,520,033.97/6,189.65
  6. Step 6: Final answer
    x = 4,607.70

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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.