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Finding the Fourth Proportional to 6,573.87, 9,072.02 and 3,589.74

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Solution

The fourth proportional to 6,573.87, 9,072.02 and 3,589.74 is: 4,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.87 : 9,072.02 = 3,589.74 : x
  2. Step 2: Convert to fraction form
    6,573.87/9,072.02 = 3,589.74/x
  3. Step 3: Cross multiply
    6,573.87x = 9,072.02 × 3,589.74
  4. Step 4: Simplify right side
    6,573.87x = 32,566,175.13
  5. Step 5: Solve for x
    x = 32,566,175.13/6,573.87
  6. Step 6: Final answer
    x = 4,953.88

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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.