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Finding the Fourth Proportional to 9,833.13, 14,722.20 and 5,313.99

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Solution

The fourth proportional to 9,833.13, 14,722.20 and 5,313.99 is: 7,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.13 : 14,722.20 = 5,313.99 : x
  2. Step 2: Convert to fraction form
    9,833.13/14,722.20 = 5,313.99/x
  3. Step 3: Cross multiply
    9,833.13x = 14,722.20 × 5,313.99
  4. Step 4: Simplify right side
    9,833.13x = 78,233,623.58
  5. Step 5: Solve for x
    x = 78,233,623.58/9,833.13
  6. Step 6: Final answer
    x = 7,956.13

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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.