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Finding the Fourth Proportional to 9,581.40, 13,222.31 and 5,389.65

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Solution

The fourth proportional to 9,581.40, 13,222.31 and 5,389.65 is: 7,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.40 : 13,222.31 = 5,389.65 : x
  2. Step 2: Convert to fraction form
    9,581.40/13,222.31 = 5,389.65/x
  3. Step 3: Cross multiply
    9,581.40x = 13,222.31 × 5,389.65
  4. Step 4: Simplify right side
    9,581.40x = 71,263,636.57
  5. Step 5: Solve for x
    x = 71,263,636.57/9,581.40
  6. Step 6: Final answer
    x = 7,437.71

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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.