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Finding the Fourth Proportional to 9,267.63, 13,866.56 and 6,499.70

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Solution

The fourth proportional to 9,267.63, 13,866.56 and 6,499.70 is: 9,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.63 : 13,866.56 = 6,499.70 : x
  2. Step 2: Convert to fraction form
    9,267.63/13,866.56 = 6,499.70/x
  3. Step 3: Cross multiply
    9,267.63x = 13,866.56 × 6,499.70
  4. Step 4: Simplify right side
    9,267.63x = 90,128,480.03
  5. Step 5: Solve for x
    x = 90,128,480.03/9,267.63
  6. Step 6: Final answer
    x = 9,725.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.