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Finding the Fourth Proportional to 9,606.16, 13,256.46 and 5,414.36

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Solution

The fourth proportional to 9,606.16, 13,256.46 and 5,414.36 is: 7,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.16 : 13,256.46 = 5,414.36 : x
  2. Step 2: Convert to fraction form
    9,606.16/13,256.46 = 5,414.36/x
  3. Step 3: Cross multiply
    9,606.16x = 13,256.46 × 5,414.36
  4. Step 4: Simplify right side
    9,606.16x = 71,775,246.77
  5. Step 5: Solve for x
    x = 71,775,246.77/9,606.16
  6. Step 6: Final answer
    x = 7,471.79

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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.