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Finding the Fourth Proportional to 10,334.39, 14,264.49 and 6,749.90

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Solution

The fourth proportional to 10,334.39, 14,264.49 and 6,749.90 is: 9,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.39 : 14,264.49 = 6,749.90 : x
  2. Step 2: Convert to fraction form
    10,334.39/14,264.49 = 6,749.90/x
  3. Step 3: Cross multiply
    10,334.39x = 14,264.49 × 6,749.90
  4. Step 4: Simplify right side
    10,334.39x = 96,283,826.60
  5. Step 5: Solve for x
    x = 96,283,826.60/10,334.39
  6. Step 6: Final answer
    x = 9,316.84

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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.