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Finding the Fourth Proportional to 9,717.40, 13,408.50 and 5,524.84

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Solution

The fourth proportional to 9,717.40, 13,408.50 and 5,524.84 is: 7,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.40 : 13,408.50 = 5,524.84 : x
  2. Step 2: Convert to fraction form
    9,717.40/13,408.50 = 5,524.84/x
  3. Step 3: Cross multiply
    9,717.40x = 13,408.50 × 5,524.84
  4. Step 4: Simplify right side
    9,717.40x = 74,079,817.14
  5. Step 5: Solve for x
    x = 74,079,817.14/9,717.40
  6. Step 6: Final answer
    x = 7,623.42

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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.