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Finding the Fourth Proportional to 9,249.34, 12,764.43 and 5,271.07

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Solution

The fourth proportional to 9,249.34, 12,764.43 and 5,271.07 is: 7,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.34 : 12,764.43 = 5,271.07 : x
  2. Step 2: Convert to fraction form
    9,249.34/12,764.43 = 5,271.07/x
  3. Step 3: Cross multiply
    9,249.34x = 12,764.43 × 5,271.07
  4. Step 4: Simplify right side
    9,249.34x = 67,282,204.04
  5. Step 5: Solve for x
    x = 67,282,204.04/9,249.34
  6. Step 6: Final answer
    x = 7,274.27

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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.