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Finding the Fourth Proportional to 9,635.28, 13,294.09 and 5,654.94

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Solution

The fourth proportional to 9,635.28, 13,294.09 and 5,654.94 is: 7,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.28 : 13,294.09 = 5,654.94 : x
  2. Step 2: Convert to fraction form
    9,635.28/13,294.09 = 5,654.94/x
  3. Step 3: Cross multiply
    9,635.28x = 13,294.09 × 5,654.94
  4. Step 4: Simplify right side
    9,635.28x = 75,177,281.30
  5. Step 5: Solve for x
    x = 75,177,281.30/9,635.28
  6. Step 6: Final answer
    x = 7,802.29

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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.