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Finding the Fourth Proportional to 9,407.48, 12,982.41 and 5,427.81

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Solution

The fourth proportional to 9,407.48, 12,982.41 and 5,427.81 is: 7,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.48 : 12,982.41 = 5,427.81 : x
  2. Step 2: Convert to fraction form
    9,407.48/12,982.41 = 5,427.81/x
  3. Step 3: Cross multiply
    9,407.48x = 12,982.41 × 5,427.81
  4. Step 4: Simplify right side
    9,407.48x = 70,466,054.82
  5. Step 5: Solve for x
    x = 70,466,054.82/9,407.48
  6. Step 6: Final answer
    x = 7,490.43

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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.