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Finding the Fourth Proportional to 6,176.96, 9,245.37 and 4,533.11

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Solution

The fourth proportional to 6,176.96, 9,245.37 and 4,533.11 is: 6,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.96 : 9,245.37 = 4,533.11 : x
  2. Step 2: Convert to fraction form
    6,176.96/9,245.37 = 4,533.11/x
  3. Step 3: Cross multiply
    6,176.96x = 9,245.37 × 4,533.11
  4. Step 4: Simplify right side
    6,176.96x = 41,910,279.20
  5. Step 5: Solve for x
    x = 41,910,279.20/6,176.96
  6. Step 6: Final answer
    x = 6,784.94

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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.