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Finding the Fourth Proportional to 9,614.72, 14,401.20 and 4,673.96

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Solution

The fourth proportional to 9,614.72, 14,401.20 and 4,673.96 is: 7,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.72 : 14,401.20 = 4,673.96 : x
  2. Step 2: Convert to fraction form
    9,614.72/14,401.20 = 4,673.96/x
  3. Step 3: Cross multiply
    9,614.72x = 14,401.20 × 4,673.96
  4. Step 4: Simplify right side
    9,614.72x = 67,310,632.75
  5. Step 5: Solve for x
    x = 67,310,632.75/9,614.72
  6. Step 6: Final answer
    x = 7,000.79

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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.