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Finding the Fourth Proportional to 9,076.24, 13,618.28 and 4,919.24

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Solution

The fourth proportional to 9,076.24, 13,618.28 and 4,919.24 is: 7,380.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.24 : 13,618.28 = 4,919.24 : x
  2. Step 2: Convert to fraction form
    9,076.24/13,618.28 = 4,919.24/x
  3. Step 3: Cross multiply
    9,076.24x = 13,618.28 × 4,919.24
  4. Step 4: Simplify right side
    9,076.24x = 66,991,587.71
  5. Step 5: Solve for x
    x = 66,991,587.71/9,076.24
  6. Step 6: Final answer
    x = 7,380.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.