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Finding the Fourth Proportional to 9,182.13, 13,751.31 and 5,015.91

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Solution

The fourth proportional to 9,182.13, 13,751.31 and 5,015.91 is: 7,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.13 : 13,751.31 = 5,015.91 : x
  2. Step 2: Convert to fraction form
    9,182.13/13,751.31 = 5,015.91/x
  3. Step 3: Cross multiply
    9,182.13x = 13,751.31 × 5,015.91
  4. Step 4: Simplify right side
    9,182.13x = 68,975,333.34
  5. Step 5: Solve for x
    x = 68,975,333.34/9,182.13
  6. Step 6: Final answer
    x = 7,511.91

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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.