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Finding the Fourth Proportional to 9,784, 14,662.23 and 4,233.07

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Solution

The fourth proportional to 9,784, 14,662.23 and 4,233.07 is: 6,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784 : 14,662.23 = 4,233.07 : x
  2. Step 2: Convert to fraction form
    9,784/14,662.23 = 4,233.07/x
  3. Step 3: Cross multiply
    9,784x = 14,662.23 × 4,233.07
  4. Step 4: Simplify right side
    9,784x = 62,066,245.95
  5. Step 5: Solve for x
    x = 62,066,245.95/9,784
  6. Step 6: Final answer
    x = 6,343.65

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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.