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Finding the Fourth Proportional to 9,730.86, 13,426.83 and 5,481.26

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Solution

The fourth proportional to 9,730.86, 13,426.83 and 5,481.26 is: 7,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.86 : 13,426.83 = 5,481.26 : x
  2. Step 2: Convert to fraction form
    9,730.86/13,426.83 = 5,481.26/x
  3. Step 3: Cross multiply
    9,730.86x = 13,426.83 × 5,481.26
  4. Step 4: Simplify right side
    9,730.86x = 73,595,946.21
  5. Step 5: Solve for x
    x = 73,595,946.21/9,730.86
  6. Step 6: Final answer
    x = 7,563.15

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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.