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Finding the Fourth Proportional to 9,039.60, 13,530.24 and 8,383.50

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Solution

The fourth proportional to 9,039.60, 13,530.24 and 8,383.50 is: 12,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.60 : 13,530.24 = 8,383.50 : x
  2. Step 2: Convert to fraction form
    9,039.60/13,530.24 = 8,383.50/x
  3. Step 3: Cross multiply
    9,039.60x = 13,530.24 × 8,383.50
  4. Step 4: Simplify right side
    9,039.60x = 113,430,767.04
  5. Step 5: Solve for x
    x = 113,430,767.04/9,039.60
  6. Step 6: Final answer
    x = 12,548.21

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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.