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Finding the Fourth Proportional to 9,605.76, 13,255.83 and 5,414.01

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Solution

The fourth proportional to 9,605.76, 13,255.83 and 5,414.01 is: 7,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.76 : 13,255.83 = 5,414.01 : x
  2. Step 2: Convert to fraction form
    9,605.76/13,255.83 = 5,414.01/x
  3. Step 3: Cross multiply
    9,605.76x = 13,255.83 × 5,414.01
  4. Step 4: Simplify right side
    9,605.76x = 71,767,196.18
  5. Step 5: Solve for x
    x = 71,767,196.18/9,605.76
  6. Step 6: Final answer
    x = 7,471.27

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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.