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Finding the Fourth Proportional to 9,271.68, 12,796.32 and 5,293.20

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Solution

The fourth proportional to 9,271.68, 12,796.32 and 5,293.20 is: 7,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.68 : 12,796.32 = 5,293.20 : x
  2. Step 2: Convert to fraction form
    9,271.68/12,796.32 = 5,293.20/x
  3. Step 3: Cross multiply
    9,271.68x = 12,796.32 × 5,293.20
  4. Step 4: Simplify right side
    9,271.68x = 67,733,481.02
  5. Step 5: Solve for x
    x = 67,733,481.02/9,271.68
  6. Step 6: Final answer
    x = 7,305.42

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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.