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Finding the Fourth Proportional to 9,457.26, 13,050.92 and 5,208.23

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Solution

The fourth proportional to 9,457.26, 13,050.92 and 5,208.23 is: 7,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.26 : 13,050.92 = 5,208.23 : x
  2. Step 2: Convert to fraction form
    9,457.26/13,050.92 = 5,208.23/x
  3. Step 3: Cross multiply
    9,457.26x = 13,050.92 × 5,208.23
  4. Step 4: Simplify right side
    9,457.26x = 67,972,101.78
  5. Step 5: Solve for x
    x = 67,972,101.78/9,457.26
  6. Step 6: Final answer
    x = 7,187.29

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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.