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Finding the Fourth Proportional to 9,115.31, 13,673.73 and 2,541.50

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Solution

The fourth proportional to 9,115.31, 13,673.73 and 2,541.50 is: 3,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.31 : 13,673.73 = 2,541.50 : x
  2. Step 2: Convert to fraction form
    9,115.31/13,673.73 = 2,541.50/x
  3. Step 3: Cross multiply
    9,115.31x = 13,673.73 × 2,541.50
  4. Step 4: Simplify right side
    9,115.31x = 34,751,703.72
  5. Step 5: Solve for x
    x = 34,751,703.72/9,115.31
  6. Step 6: Final answer
    x = 3,812.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.