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Finding the Fourth Proportional to 9,732.66, 13,414.94 and 6,896.40

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Solution

The fourth proportional to 9,732.66, 13,414.94 and 6,896.40 is: 9,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.66 : 13,414.94 = 6,896.40 : x
  2. Step 2: Convert to fraction form
    9,732.66/13,414.94 = 6,896.40/x
  3. Step 3: Cross multiply
    9,732.66x = 13,414.94 × 6,896.40
  4. Step 4: Simplify right side
    9,732.66x = 92,514,792.22
  5. Step 5: Solve for x
    x = 92,514,792.22/9,732.66
  6. Step 6: Final answer
    x = 9,505.60

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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.