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Finding the Fourth Proportional to 6,543.45, 9,029.97 and 3,559.31

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Solution

The fourth proportional to 6,543.45, 9,029.97 and 3,559.31 is: 4,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.45 : 9,029.97 = 3,559.31 : x
  2. Step 2: Convert to fraction form
    6,543.45/9,029.97 = 3,559.31/x
  3. Step 3: Cross multiply
    6,543.45x = 9,029.97 × 3,559.31
  4. Step 4: Simplify right side
    6,543.45x = 32,140,417.37
  5. Step 5: Solve for x
    x = 32,140,417.37/6,543.45
  6. Step 6: Final answer
    x = 4,911.85

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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.