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Finding the Fourth Proportional to 9,764.24, 13,474.71 and 5,457.33

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Solution

The fourth proportional to 9,764.24, 13,474.71 and 5,457.33 is: 7,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.24 : 13,474.71 = 5,457.33 : x
  2. Step 2: Convert to fraction form
    9,764.24/13,474.71 = 5,457.33/x
  3. Step 3: Cross multiply
    9,764.24x = 13,474.71 × 5,457.33
  4. Step 4: Simplify right side
    9,764.24x = 73,535,939.12
  5. Step 5: Solve for x
    x = 73,535,939.12/9,764.24
  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.