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Finding the Fourth Proportional to 9,933.68, 13,707.81 and 5,457.62

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Solution

The fourth proportional to 9,933.68, 13,707.81 and 5,457.62 is: 7,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.68 : 13,707.81 = 5,457.62 : x
  2. Step 2: Convert to fraction form
    9,933.68/13,707.81 = 5,457.62/x
  3. Step 3: Cross multiply
    9,933.68x = 13,707.81 × 5,457.62
  4. Step 4: Simplify right side
    9,933.68x = 74,812,052.28
  5. Step 5: Solve for x
    x = 74,812,052.28/9,933.68
  6. Step 6: Final answer
    x = 7,531.15

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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.