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Finding the Fourth Proportional to 9,436.52, 13,022.52 and 5,457.80

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Solution

The fourth proportional to 9,436.52, 13,022.52 and 5,457.80 is: 7,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.52 : 13,022.52 = 5,457.80 : x
  2. Step 2: Convert to fraction form
    9,436.52/13,022.52 = 5,457.80/x
  3. Step 3: Cross multiply
    9,436.52x = 13,022.52 × 5,457.80
  4. Step 4: Simplify right side
    9,436.52x = 71,074,309.66
  5. Step 5: Solve for x
    x = 71,074,309.66/9,436.52
  6. Step 6: Final answer
    x = 7,531.83

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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.