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Finding the Fourth Proportional to 6,359.88, 9,538.20 and 4,278.72

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Solution

The fourth proportional to 6,359.88, 9,538.20 and 4,278.72 is: 6,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.88 : 9,538.20 = 4,278.72 : x
  2. Step 2: Convert to fraction form
    6,359.88/9,538.20 = 4,278.72/x
  3. Step 3: Cross multiply
    6,359.88x = 9,538.20 × 4,278.72
  4. Step 4: Simplify right side
    6,359.88x = 40,811,287.10
  5. Step 5: Solve for x
    x = 40,811,287.10/6,359.88
  6. Step 6: Final answer
    x = 6,416.99

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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.