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Finding the Fourth Proportional to 9,130.37, 12,601.94 and 5,938.11

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Solution

The fourth proportional to 9,130.37, 12,601.94 and 5,938.11 is: 8,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.37 : 12,601.94 = 5,938.11 : x
  2. Step 2: Convert to fraction form
    9,130.37/12,601.94 = 5,938.11/x
  3. Step 3: Cross multiply
    9,130.37x = 12,601.94 × 5,938.11
  4. Step 4: Simplify right side
    9,130.37x = 74,831,676.24
  5. Step 5: Solve for x
    x = 74,831,676.24/9,130.37
  6. Step 6: Final answer
    x = 8,195.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.