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Finding the Fourth Proportional to 9,769.24, 13,475.46 and 6,412.24

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Solution

The fourth proportional to 9,769.24, 13,475.46 and 6,412.24 is: 8,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.24 : 13,475.46 = 6,412.24 : x
  2. Step 2: Convert to fraction form
    9,769.24/13,475.46 = 6,412.24/x
  3. Step 3: Cross multiply
    9,769.24x = 13,475.46 × 6,412.24
  4. Step 4: Simplify right side
    9,769.24x = 86,407,883.63
  5. Step 5: Solve for x
    x = 86,407,883.63/9,769.24
  6. Step 6: Final answer
    x = 8,844.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.