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Finding the Fourth Proportional to 9,676.02, 14,507.19 and 4,994.04

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Solution

The fourth proportional to 9,676.02, 14,507.19 and 4,994.04 is: 7,487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.02 : 14,507.19 = 4,994.04 : x
  2. Step 2: Convert to fraction form
    9,676.02/14,507.19 = 4,994.04/x
  3. Step 3: Cross multiply
    9,676.02x = 14,507.19 × 4,994.04
  4. Step 4: Simplify right side
    9,676.02x = 72,449,487.15
  5. Step 5: Solve for x
    x = 72,449,487.15/9,676.02
  6. Step 6: Final answer
    x = 7,487.53

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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.