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Finding the Fourth Proportional to 6,147.90, 9,219.72 and 3,804.32

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Solution

The fourth proportional to 6,147.90, 9,219.72 and 3,804.32 is: 5,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.90 : 9,219.72 = 3,804.32 : x
  2. Step 2: Convert to fraction form
    6,147.90/9,219.72 = 3,804.32/x
  3. Step 3: Cross multiply
    6,147.90x = 9,219.72 × 3,804.32
  4. Step 4: Simplify right side
    6,147.90x = 35,074,765.19
  5. Step 5: Solve for x
    x = 35,074,765.19/6,147.90
  6. Step 6: Final answer
    x = 5,705.16

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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.