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Finding the Fourth Proportional to 9,691.40, 13,376.28 and 6,153.94

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Solution

The fourth proportional to 9,691.40, 13,376.28 and 6,153.94 is: 8,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.40 : 13,376.28 = 6,153.94 : x
  2. Step 2: Convert to fraction form
    9,691.40/13,376.28 = 6,153.94/x
  3. Step 3: Cross multiply
    9,691.40x = 13,376.28 × 6,153.94
  4. Step 4: Simplify right side
    9,691.40x = 82,316,824.54
  5. Step 5: Solve for x
    x = 82,316,824.54/9,691.40
  6. Step 6: Final answer
    x = 8,493.80

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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.