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Finding the Fourth Proportional to 9,505.37, 14,245.64 and 5,113.37

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Solution

The fourth proportional to 9,505.37, 14,245.64 and 5,113.37 is: 7,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.37 : 14,245.64 = 5,113.37 : x
  2. Step 2: Convert to fraction form
    9,505.37/14,245.64 = 5,113.37/x
  3. Step 3: Cross multiply
    9,505.37x = 14,245.64 × 5,113.37
  4. Step 4: Simplify right side
    9,505.37x = 72,843,257.43
  5. Step 5: Solve for x
    x = 72,843,257.43/9,505.37
  6. Step 6: Final answer
    x = 7,663.38

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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.