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Finding the Fourth Proportional to 9,663.85, 14,497.85 and 3,000.21

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Solution

The fourth proportional to 9,663.85, 14,497.85 and 3,000.21 is: 4,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.85 : 14,497.85 = 3,000.21 : x
  2. Step 2: Convert to fraction form
    9,663.85/14,497.85 = 3,000.21/x
  3. Step 3: Cross multiply
    9,663.85x = 14,497.85 × 3,000.21
  4. Step 4: Simplify right side
    9,663.85x = 43,496,594.55
  5. Step 5: Solve for x
    x = 43,496,594.55/9,663.85
  6. Step 6: Final answer
    x = 4,500.96

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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.