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Finding the Fourth Proportional to 9,665.85, 14,499.26 and 3,006.89

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Solution

The fourth proportional to 9,665.85, 14,499.26 and 3,006.89 is: 4,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.85 : 14,499.26 = 3,006.89 : x
  2. Step 2: Convert to fraction form
    9,665.85/14,499.26 = 3,006.89/x
  3. Step 3: Cross multiply
    9,665.85x = 14,499.26 × 3,006.89
  4. Step 4: Simplify right side
    9,665.85x = 43,597,679.90
  5. Step 5: Solve for x
    x = 43,597,679.90/9,665.85
  6. Step 6: Final answer
    x = 4,510.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.