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Finding the Fourth Proportional to 9,602.20, 13,604.02 and 9,602.20

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Solution

The fourth proportional to 9,602.20, 13,604.02 and 9,602.20 is: 13,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.20 : 13,604.02 = 9,602.20 : x
  2. Step 2: Convert to fraction form
    9,602.20/13,604.02 = 9,602.20/x
  3. Step 3: Cross multiply
    9,602.20x = 13,604.02 × 9,602.20
  4. Step 4: Simplify right side
    9,602.20x = 130,628,520.84
  5. Step 5: Solve for x
    x = 130,628,520.84/9,602.20
  6. Step 6: Final answer
    x = 13,604.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.