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Finding the Fourth Proportional to 9,676.04, 14,516.22 and 3,102.62

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Solution

The fourth proportional to 9,676.04, 14,516.22 and 3,102.62 is: 4,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.04 : 14,516.22 = 3,102.62 : x
  2. Step 2: Convert to fraction form
    9,676.04/14,516.22 = 3,102.62/x
  3. Step 3: Cross multiply
    9,676.04x = 14,516.22 × 3,102.62
  4. Step 4: Simplify right side
    9,676.04x = 45,038,241.92
  5. Step 5: Solve for x
    x = 45,038,241.92/9,676.04
  6. Step 6: Final answer
    x = 4,654.62

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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.