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Finding the Fourth Proportional to 9,504.07, 14,266.13 and 7,769.05

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Solution

The fourth proportional to 9,504.07, 14,266.13 and 7,769.05 is: 11,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.07 : 14,266.13 = 7,769.05 : x
  2. Step 2: Convert to fraction form
    9,504.07/14,266.13 = 7,769.05/x
  3. Step 3: Cross multiply
    9,504.07x = 14,266.13 × 7,769.05
  4. Step 4: Simplify right side
    9,504.07x = 110,834,277.28
  5. Step 5: Solve for x
    x = 110,834,277.28/9,504.07
  6. Step 6: Final answer
    x = 11,661.77

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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.