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Finding the Fourth Proportional to 9,375.75, 12,938.54 and 5,184

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Solution

The fourth proportional to 9,375.75, 12,938.54 and 5,184 is: 7,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.75 : 12,938.54 = 5,184 : x
  2. Step 2: Convert to fraction form
    9,375.75/12,938.54 = 5,184/x
  3. Step 3: Cross multiply
    9,375.75x = 12,938.54 × 5,184
  4. Step 4: Simplify right side
    9,375.75x = 67,073,365.44
  5. Step 5: Solve for x
    x = 67,073,365.44/9,375.75
  6. Step 6: Final answer
    x = 7,153.92

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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.