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Finding the Fourth Proportional to 6,543.53, 9,029.94 and 3,559.44

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Solution

The fourth proportional to 6,543.53, 9,029.94 and 3,559.44 is: 4,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.53 : 9,029.94 = 3,559.44 : x
  2. Step 2: Convert to fraction form
    6,543.53/9,029.94 = 3,559.44/x
  3. Step 3: Cross multiply
    6,543.53x = 9,029.94 × 3,559.44
  4. Step 4: Simplify right side
    6,543.53x = 32,141,511.84
  5. Step 5: Solve for x
    x = 32,141,511.84/6,543.53
  6. Step 6: Final answer
    x = 4,911.95

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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.