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Finding the Fourth Proportional to 6,304.80, 9,457.20 and 4,555.20

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Solution

The fourth proportional to 6,304.80, 9,457.20 and 4,555.20 is: 6,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.80 : 9,457.20 = 4,555.20 : x
  2. Step 2: Convert to fraction form
    6,304.80/9,457.20 = 4,555.20/x
  3. Step 3: Cross multiply
    6,304.80x = 9,457.20 × 4,555.20
  4. Step 4: Simplify right side
    6,304.80x = 43,079,437.44
  5. Step 5: Solve for x
    x = 43,079,437.44/6,304.80
  6. Step 6: Final answer
    x = 6,832.80

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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.