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Finding the Fourth Proportional to 9,362, 12,919.56 and 5,170.88

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Solution

The fourth proportional to 9,362, 12,919.56 and 5,170.88 is: 7,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362 : 12,919.56 = 5,170.88 : x
  2. Step 2: Convert to fraction form
    9,362/12,919.56 = 5,170.88/x
  3. Step 3: Cross multiply
    9,362x = 12,919.56 × 5,170.88
  4. Step 4: Simplify right side
    9,362x = 66,805,494.41
  5. Step 5: Solve for x
    x = 66,805,494.41/9,362
  6. Step 6: Final answer
    x = 7,135.81

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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.