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Finding the Fourth Proportional to 9,305.44, 12,842.33 and 5,114.50

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Solution

The fourth proportional to 9,305.44, 12,842.33 and 5,114.50 is: 7,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.44 : 12,842.33 = 5,114.50 : x
  2. Step 2: Convert to fraction form
    9,305.44/12,842.33 = 5,114.50/x
  3. Step 3: Cross multiply
    9,305.44x = 12,842.33 × 5,114.50
  4. Step 4: Simplify right side
    9,305.44x = 65,682,039.11
  5. Step 5: Solve for x
    x = 65,682,039.11/9,305.44
  6. Step 6: Final answer
    x = 7,058.46

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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.