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Finding the Fourth Proportional to 9,375.18, 12,938.67 and 5,396.46

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Solution

The fourth proportional to 9,375.18, 12,938.67 and 5,396.46 is: 7,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.18 : 12,938.67 = 5,396.46 : x
  2. Step 2: Convert to fraction form
    9,375.18/12,938.67 = 5,396.46/x
  3. Step 3: Cross multiply
    9,375.18x = 12,938.67 × 5,396.46
  4. Step 4: Simplify right side
    9,375.18x = 69,823,015.11
  5. Step 5: Solve for x
    x = 69,823,015.11/9,375.18
  6. Step 6: Final answer
    x = 7,447.65

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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.