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Finding the Fourth Proportional to 9,271.32, 12,796.80 and 5,732.46

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Solution

The fourth proportional to 9,271.32, 12,796.80 and 5,732.46 is: 7,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.32 : 12,796.80 = 5,732.46 : x
  2. Step 2: Convert to fraction form
    9,271.32/12,796.80 = 5,732.46/x
  3. Step 3: Cross multiply
    9,271.32x = 12,796.80 × 5,732.46
  4. Step 4: Simplify right side
    9,271.32x = 73,357,144.13
  5. Step 5: Solve for x
    x = 73,357,144.13/9,271.32
  6. Step 6: Final answer
    x = 7,912.27

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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.