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Finding the Fourth Proportional to 9,933.92, 13,709.07 and 5,457.79

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Solution

The fourth proportional to 9,933.92, 13,709.07 and 5,457.79 is: 7,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.92 : 13,709.07 = 5,457.79 : x
  2. Step 2: Convert to fraction form
    9,933.92/13,709.07 = 5,457.79/x
  3. Step 3: Cross multiply
    9,933.92x = 13,709.07 × 5,457.79
  4. Step 4: Simplify right side
    9,933.92x = 74,821,155.63
  5. Step 5: Solve for x
    x = 74,821,155.63/9,933.92
  6. Step 6: Final answer
    x = 7,531.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.