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Finding the Fourth Proportional to 9,581.26, 13,222 and 5,389.50

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Solution

The fourth proportional to 9,581.26, 13,222 and 5,389.50 is: 7,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.26 : 13,222 = 5,389.50 : x
  2. Step 2: Convert to fraction form
    9,581.26/13,222 = 5,389.50/x
  3. Step 3: Cross multiply
    9,581.26x = 13,222 × 5,389.50
  4. Step 4: Simplify right side
    9,581.26x = 71,259,969
  5. Step 5: Solve for x
    x = 71,259,969/9,581.26
  6. Step 6: Final answer
    x = 7,437.43

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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.