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Finding the Fourth Proportional to 9,607.37, 14,410.78 and 5,233.37

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Solution

The fourth proportional to 9,607.37, 14,410.78 and 5,233.37 is: 7,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.37 : 14,410.78 = 5,233.37 : x
  2. Step 2: Convert to fraction form
    9,607.37/14,410.78 = 5,233.37/x
  3. Step 3: Cross multiply
    9,607.37x = 14,410.78 × 5,233.37
  4. Step 4: Simplify right side
    9,607.37x = 75,416,858.59
  5. Step 5: Solve for x
    x = 75,416,858.59/9,607.37
  6. Step 6: Final answer
    x = 7,849.90

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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.