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Finding the Fourth Proportional to 6,349.80, 9,523.62 and 1,731.72

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Solution

The fourth proportional to 6,349.80, 9,523.62 and 1,731.72 is: 2,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.80 : 9,523.62 = 1,731.72 : x
  2. Step 2: Convert to fraction form
    6,349.80/9,523.62 = 1,731.72/x
  3. Step 3: Cross multiply
    6,349.80x = 9,523.62 × 1,731.72
  4. Step 4: Simplify right side
    6,349.80x = 16,492,243.23
  5. Step 5: Solve for x
    x = 16,492,243.23/6,349.80
  6. Step 6: Final answer
    x = 2,597.29

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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.