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Finding the Fourth Proportional to 9,206.69, 12,703.82 and 5,172.72

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Solution

The fourth proportional to 9,206.69, 12,703.82 and 5,172.72 is: 7,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.69 : 12,703.82 = 5,172.72 : x
  2. Step 2: Convert to fraction form
    9,206.69/12,703.82 = 5,172.72/x
  3. Step 3: Cross multiply
    9,206.69x = 12,703.82 × 5,172.72
  4. Step 4: Simplify right side
    9,206.69x = 65,713,277.93
  5. Step 5: Solve for x
    x = 65,713,277.93/9,206.69
  6. Step 6: Final answer
    x = 7,137.56

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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.