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Finding the Fourth Proportional to 9,769.88, 14,620.26 and 7,166.36

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Solution

The fourth proportional to 9,769.88, 14,620.26 and 7,166.36 is: 10,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.88 : 14,620.26 = 7,166.36 : x
  2. Step 2: Convert to fraction form
    9,769.88/14,620.26 = 7,166.36/x
  3. Step 3: Cross multiply
    9,769.88x = 14,620.26 × 7,166.36
  4. Step 4: Simplify right side
    9,769.88x = 104,774,046.45
  5. Step 5: Solve for x
    x = 104,774,046.45/9,769.88
  6. Step 6: Final answer
    x = 10,724.19

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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.