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Finding the Fourth Proportional to 6,187.29, 9,281.78 and 1,804.71

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Solution

The fourth proportional to 6,187.29, 9,281.78 and 1,804.71 is: 2,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.29 : 9,281.78 = 1,804.71 : x
  2. Step 2: Convert to fraction form
    6,187.29/9,281.78 = 1,804.71/x
  3. Step 3: Cross multiply
    6,187.29x = 9,281.78 × 1,804.71
  4. Step 4: Simplify right side
    6,187.29x = 16,750,912.16
  5. Step 5: Solve for x
    x = 16,750,912.16/6,187.29
  6. Step 6: Final answer
    x = 2,707.31

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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.