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Finding the Fourth Proportional to 9,213, 13,821.66 and 3,057

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Solution

The fourth proportional to 9,213, 13,821.66 and 3,057 is: 4,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213 : 13,821.66 = 3,057 : x
  2. Step 2: Convert to fraction form
    9,213/13,821.66 = 3,057/x
  3. Step 3: Cross multiply
    9,213x = 13,821.66 × 3,057
  4. Step 4: Simplify right side
    9,213x = 42,252,814.62
  5. Step 5: Solve for x
    x = 42,252,814.62/9,213
  6. Step 6: Final answer
    x = 4,586.22

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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.