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Finding the Fourth Proportional to 9,704.34, 13,392.12 and 5,511.78

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Solution

The fourth proportional to 9,704.34, 13,392.12 and 5,511.78 is: 7,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.34 : 13,392.12 = 5,511.78 : x
  2. Step 2: Convert to fraction form
    9,704.34/13,392.12 = 5,511.78/x
  3. Step 3: Cross multiply
    9,704.34x = 13,392.12 × 5,511.78
  4. Step 4: Simplify right side
    9,704.34x = 73,814,419.17
  5. Step 5: Solve for x
    x = 73,814,419.17/9,704.34
  6. Step 6: Final answer
    x = 7,606.33

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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.