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Finding the Fourth Proportional to 9,704.97, 13,397.92 and 6,534.95

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Solution

The fourth proportional to 9,704.97, 13,397.92 and 6,534.95 is: 9,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.97 : 13,397.92 = 6,534.95 : x
  2. Step 2: Convert to fraction form
    9,704.97/13,397.92 = 6,534.95/x
  3. Step 3: Cross multiply
    9,704.97x = 13,397.92 × 6,534.95
  4. Step 4: Simplify right side
    9,704.97x = 87,554,653.98
  5. Step 5: Solve for x
    x = 87,554,653.98/9,704.97
  6. Step 6: Final answer
    x = 9,021.63

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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.