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Finding the Fourth Proportional to 9,933.96, 13,709.16 and 5,457.99

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Solution

The fourth proportional to 9,933.96, 13,709.16 and 5,457.99 is: 7,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.96 : 13,709.16 = 5,457.99 : x
  2. Step 2: Convert to fraction form
    9,933.96/13,709.16 = 5,457.99/x
  3. Step 3: Cross multiply
    9,933.96x = 13,709.16 × 5,457.99
  4. Step 4: Simplify right side
    9,933.96x = 74,824,458.19
  5. Step 5: Solve for x
    x = 74,824,458.19/9,933.96
  6. Step 6: Final answer
    x = 7,532.19

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Why These Related Problems?

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