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Finding the Fourth Proportional to 9,783.38, 13,499.56 and 6,427.55

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Solution

The fourth proportional to 9,783.38, 13,499.56 and 6,427.55 is: 8,869.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.38 : 13,499.56 = 6,427.55 : x
  2. Step 2: Convert to fraction form
    9,783.38/13,499.56 = 6,427.55/x
  3. Step 3: Cross multiply
    9,783.38x = 13,499.56 × 6,427.55
  4. Step 4: Simplify right side
    9,783.38x = 86,769,138.66
  5. Step 5: Solve for x
    x = 86,769,138.66/9,783.38
  6. Step 6: Final answer
    x = 8,869.03

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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.