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Finding the Fourth Proportional to 10,313.70, 14,233.11 and 6,730.95

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Solution

The fourth proportional to 10,313.70, 14,233.11 and 6,730.95 is: 9,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.70 : 14,233.11 = 6,730.95 : x
  2. Step 2: Convert to fraction form
    10,313.70/14,233.11 = 6,730.95/x
  3. Step 3: Cross multiply
    10,313.70x = 14,233.11 × 6,730.95
  4. Step 4: Simplify right side
    10,313.70x = 95,802,407.20
  5. Step 5: Solve for x
    x = 95,802,407.20/10,313.70
  6. Step 6: Final answer
    x = 9,288.85

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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.