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Finding the Fourth Proportional to 9,676.37, 14,507.23 and 4,994.34

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Solution

The fourth proportional to 9,676.37, 14,507.23 and 4,994.34 is: 7,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.37 : 14,507.23 = 4,994.34 : x
  2. Step 2: Convert to fraction form
    9,676.37/14,507.23 = 4,994.34/x
  3. Step 3: Cross multiply
    9,676.37x = 14,507.23 × 4,994.34
  4. Step 4: Simplify right side
    9,676.37x = 72,454,039.08
  5. Step 5: Solve for x
    x = 72,454,039.08/9,676.37
  6. Step 6: Final answer
    x = 7,487.73

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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.