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Finding the Fourth Proportional to 9,795.60, 13,507.98 and 8,383.98

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Solution

The fourth proportional to 9,795.60, 13,507.98 and 8,383.98 is: 11,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.60 : 13,507.98 = 8,383.98 : x
  2. Step 2: Convert to fraction form
    9,795.60/13,507.98 = 8,383.98/x
  3. Step 3: Cross multiply
    9,795.60x = 13,507.98 × 8,383.98
  4. Step 4: Simplify right side
    9,795.60x = 113,250,634.16
  5. Step 5: Solve for x
    x = 113,250,634.16/9,795.60
  6. Step 6: Final answer
    x = 11,561.38

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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.