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Finding the Fourth Proportional to 9,483.34, 13,086.86 and 5,234.82

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Solution

The fourth proportional to 9,483.34, 13,086.86 and 5,234.82 is: 7,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.34 : 13,086.86 = 5,234.82 : x
  2. Step 2: Convert to fraction form
    9,483.34/13,086.86 = 5,234.82/x
  3. Step 3: Cross multiply
    9,483.34x = 13,086.86 × 5,234.82
  4. Step 4: Simplify right side
    9,483.34x = 68,507,330.29
  5. Step 5: Solve for x
    x = 68,507,330.29/9,483.34
  6. Step 6: Final answer
    x = 7,223.97

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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.