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Finding the Fourth Proportional to 9,704.40, 13,389.92 and 6,715.44

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Solution

The fourth proportional to 9,704.40, 13,389.92 and 6,715.44 is: 9,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.40 : 13,389.92 = 6,715.44 : x
  2. Step 2: Convert to fraction form
    9,704.40/13,389.92 = 6,715.44/x
  3. Step 3: Cross multiply
    9,704.40x = 13,389.92 × 6,715.44
  4. Step 4: Simplify right side
    9,704.40x = 89,919,204.36
  5. Step 5: Solve for x
    x = 89,919,204.36/9,704.40
  6. Step 6: Final answer
    x = 9,265.82

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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.