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Finding the Fourth Proportional to 9,427.05, 13,008.47 and 5,234.49

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Solution

The fourth proportional to 9,427.05, 13,008.47 and 5,234.49 is: 7,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.05 : 13,008.47 = 5,234.49 : x
  2. Step 2: Convert to fraction form
    9,427.05/13,008.47 = 5,234.49/x
  3. Step 3: Cross multiply
    9,427.05x = 13,008.47 × 5,234.49
  4. Step 4: Simplify right side
    9,427.05x = 68,092,679.96
  5. Step 5: Solve for x
    x = 68,092,679.96/9,427.05
  6. Step 6: Final answer
    x = 7,223.12

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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.