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Finding the Fourth Proportional to 9,666.10, 14,503.20 and 7,222.13

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Solution

The fourth proportional to 9,666.10, 14,503.20 and 7,222.13 is: 10,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.10 : 14,503.20 = 7,222.13 : x
  2. Step 2: Convert to fraction form
    9,666.10/14,503.20 = 7,222.13/x
  3. Step 3: Cross multiply
    9,666.10x = 14,503.20 × 7,222.13
  4. Step 4: Simplify right side
    9,666.10x = 104,743,995.82
  5. Step 5: Solve for x
    x = 104,743,995.82/9,666.10
  6. Step 6: Final answer
    x = 10,836.22

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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.