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Finding the Fourth Proportional to 9,602.82, 13,250.83 and 5,353.56

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Solution

The fourth proportional to 9,602.82, 13,250.83 and 5,353.56 is: 7,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.82 : 13,250.83 = 5,353.56 : x
  2. Step 2: Convert to fraction form
    9,602.82/13,250.83 = 5,353.56/x
  3. Step 3: Cross multiply
    9,602.82x = 13,250.83 × 5,353.56
  4. Step 4: Simplify right side
    9,602.82x = 70,939,113.45
  5. Step 5: Solve for x
    x = 70,939,113.45/9,602.82
  6. Step 6: Final answer
    x = 7,387.32

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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.