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Finding the Fourth Proportional to 9,665.13, 14,503.27 and 5,222.81

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Solution

The fourth proportional to 9,665.13, 14,503.27 and 5,222.81 is: 7,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.13 : 14,503.27 = 5,222.81 : x
  2. Step 2: Convert to fraction form
    9,665.13/14,503.27 = 5,222.81/x
  3. Step 3: Cross multiply
    9,665.13x = 14,503.27 × 5,222.81
  4. Step 4: Simplify right side
    9,665.13x = 75,747,751.07
  5. Step 5: Solve for x
    x = 75,747,751.07/9,665.13
  6. Step 6: Final answer
    x = 7,837.22

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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.