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Finding the Fourth Proportional to 9,715.72, 13,408.02 and 6,178.84

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Solution

The fourth proportional to 9,715.72, 13,408.02 and 6,178.84 is: 8,527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.72 : 13,408.02 = 6,178.84 : x
  2. Step 2: Convert to fraction form
    9,715.72/13,408.02 = 6,178.84/x
  3. Step 3: Cross multiply
    9,715.72x = 13,408.02 × 6,178.84
  4. Step 4: Simplify right side
    9,715.72x = 82,846,010.30
  5. Step 5: Solve for x
    x = 82,846,010.30/9,715.72
  6. Step 6: Final answer
    x = 8,527.01

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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.