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Finding the Fourth Proportional to 6,558.98, 9,832.08 and 4,212.41

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Solution

The fourth proportional to 6,558.98, 9,832.08 and 4,212.41 is: 6,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.98 : 9,832.08 = 4,212.41 : x
  2. Step 2: Convert to fraction form
    6,558.98/9,832.08 = 4,212.41/x
  3. Step 3: Cross multiply
    6,558.98x = 9,832.08 × 4,212.41
  4. Step 4: Simplify right side
    6,558.98x = 41,416,752.11
  5. Step 5: Solve for x
    x = 41,416,752.11/6,558.98
  6. Step 6: Final answer
    x = 6,314.51

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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.