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Finding the Fourth Proportional to 9,009.72, 12,427.16 and 8,266.14

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Solution

The fourth proportional to 9,009.72, 12,427.16 and 8,266.14 is: 11,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.72 : 12,427.16 = 8,266.14 : x
  2. Step 2: Convert to fraction form
    9,009.72/12,427.16 = 8,266.14/x
  3. Step 3: Cross multiply
    9,009.72x = 12,427.16 × 8,266.14
  4. Step 4: Simplify right side
    9,009.72x = 102,724,603.03
  5. Step 5: Solve for x
    x = 102,724,603.03/9,009.72
  6. Step 6: Final answer
    x = 11,401.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.