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Finding the Fourth Proportional to 6,573.42, 9,071.37 and 3,589.20

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Solution

The fourth proportional to 6,573.42, 9,071.37 and 3,589.20 is: 4,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.42 : 9,071.37 = 3,589.20 : x
  2. Step 2: Convert to fraction form
    6,573.42/9,071.37 = 3,589.20/x
  3. Step 3: Cross multiply
    6,573.42x = 9,071.37 × 3,589.20
  4. Step 4: Simplify right side
    6,573.42x = 32,558,961.20
  5. Step 5: Solve for x
    x = 32,558,961.20/6,573.42
  6. Step 6: Final answer
    x = 4,953.12

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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.