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Finding the Fourth Proportional to 9,412.04, 12,990.96 and 5,435.56

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Solution

The fourth proportional to 9,412.04, 12,990.96 and 5,435.56 is: 7,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.04 : 12,990.96 = 5,435.56 : x
  2. Step 2: Convert to fraction form
    9,412.04/12,990.96 = 5,435.56/x
  3. Step 3: Cross multiply
    9,412.04x = 12,990.96 × 5,435.56
  4. Step 4: Simplify right side
    9,412.04x = 70,613,142.54
  5. Step 5: Solve for x
    x = 70,613,142.54/9,412.04
  6. Step 6: Final answer
    x = 7,502.43

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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.