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Finding the Fourth Proportional to 6,300.72, 9,452.16 and 3,804.30

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Solution

The fourth proportional to 6,300.72, 9,452.16 and 3,804.30 is: 5,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.72 : 9,452.16 = 3,804.30 : x
  2. Step 2: Convert to fraction form
    6,300.72/9,452.16 = 3,804.30/x
  3. Step 3: Cross multiply
    6,300.72x = 9,452.16 × 3,804.30
  4. Step 4: Simplify right side
    6,300.72x = 35,958,852.29
  5. Step 5: Solve for x
    x = 35,958,852.29/6,300.72
  6. Step 6: Final answer
    x = 5,707.10

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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.