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Finding the Fourth Proportional to 9,267.23, 12,776.40 and 7,667.99

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Solution

The fourth proportional to 9,267.23, 12,776.40 and 7,667.99 is: 10,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.23 : 12,776.40 = 7,667.99 : x
  2. Step 2: Convert to fraction form
    9,267.23/12,776.40 = 7,667.99/x
  3. Step 3: Cross multiply
    9,267.23x = 12,776.40 × 7,667.99
  4. Step 4: Simplify right side
    9,267.23x = 97,969,291.47
  5. Step 5: Solve for x
    x = 97,969,291.47/9,267.23
  6. Step 6: Final answer
    x = 10,571.58

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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.