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Finding the Fourth Proportional to 9,635.78, 13,294.77 and 5,655.44

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Solution

The fourth proportional to 9,635.78, 13,294.77 and 5,655.44 is: 7,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.78 : 13,294.77 = 5,655.44 : x
  2. Step 2: Convert to fraction form
    9,635.78/13,294.77 = 5,655.44/x
  3. Step 3: Cross multiply
    9,635.78x = 13,294.77 × 5,655.44
  4. Step 4: Simplify right side
    9,635.78x = 75,187,707.57
  5. Step 5: Solve for x
    x = 75,187,707.57/9,635.78
  6. Step 6: Final answer
    x = 7,802.97

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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.