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Finding the Fourth Proportional to 6,287.64, 8,672.08 and 4,608.42

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Solution

The fourth proportional to 6,287.64, 8,672.08 and 4,608.42 is: 6,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.64 : 8,672.08 = 4,608.42 : x
  2. Step 2: Convert to fraction form
    6,287.64/8,672.08 = 4,608.42/x
  3. Step 3: Cross multiply
    6,287.64x = 8,672.08 × 4,608.42
  4. Step 4: Simplify right side
    6,287.64x = 39,964,586.91
  5. Step 5: Solve for x
    x = 39,964,586.91/6,287.64
  6. Step 6: Final answer
    x = 6,356.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.