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Finding the Fourth Proportional to 9,581.31, 13,223.40 and 5,804.37

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Solution

The fourth proportional to 9,581.31, 13,223.40 and 5,804.37 is: 8,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.31 : 13,223.40 = 5,804.37 : x
  2. Step 2: Convert to fraction form
    9,581.31/13,223.40 = 5,804.37/x
  3. Step 3: Cross multiply
    9,581.31x = 13,223.40 × 5,804.37
  4. Step 4: Simplify right side
    9,581.31x = 76,753,506.26
  5. Step 5: Solve for x
    x = 76,753,506.26/9,581.31
  6. Step 6: Final answer
    x = 8,010.75

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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.