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Finding the Fourth Proportional to 9,220.56, 13,833.28 and 2,647.20

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Solution

The fourth proportional to 9,220.56, 13,833.28 and 2,647.20 is: 3,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.56 : 13,833.28 = 2,647.20 : x
  2. Step 2: Convert to fraction form
    9,220.56/13,833.28 = 2,647.20/x
  3. Step 3: Cross multiply
    9,220.56x = 13,833.28 × 2,647.20
  4. Step 4: Simplify right side
    9,220.56x = 36,619,458.82
  5. Step 5: Solve for x
    x = 36,619,458.82/9,220.56
  6. Step 6: Final answer
    x = 3,971.50

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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.