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Finding the Fourth Proportional to 9,406.28, 12,980.72 and 5,427.56

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Solution

The fourth proportional to 9,406.28, 12,980.72 and 5,427.56 is: 7,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.28 : 12,980.72 = 5,427.56 : x
  2. Step 2: Convert to fraction form
    9,406.28/12,980.72 = 5,427.56/x
  3. Step 3: Cross multiply
    9,406.28x = 12,980.72 × 5,427.56
  4. Step 4: Simplify right side
    9,406.28x = 70,453,636.64
  5. Step 5: Solve for x
    x = 70,453,636.64/9,406.28
  6. Step 6: Final answer
    x = 7,490.06

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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.