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Finding the Fourth Proportional to 9,204.10, 13,802.10 and 3,655.60

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Solution

The fourth proportional to 9,204.10, 13,802.10 and 3,655.60 is: 5,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.10 : 13,802.10 = 3,655.60 : x
  2. Step 2: Convert to fraction form
    9,204.10/13,802.10 = 3,655.60/x
  3. Step 3: Cross multiply
    9,204.10x = 13,802.10 × 3,655.60
  4. Step 4: Simplify right side
    9,204.10x = 50,454,956.76
  5. Step 5: Solve for x
    x = 50,454,956.76/9,204.10
  6. Step 6: Final answer
    x = 5,481.79

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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.