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Finding the Fourth Proportional to 10,119.85, 13,969.72 and 6,345.17

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Solution

The fourth proportional to 10,119.85, 13,969.72 and 6,345.17 is: 8,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.85 : 13,969.72 = 6,345.17 : x
  2. Step 2: Convert to fraction form
    10,119.85/13,969.72 = 6,345.17/x
  3. Step 3: Cross multiply
    10,119.85x = 13,969.72 × 6,345.17
  4. Step 4: Simplify right side
    10,119.85x = 88,640,203.03
  5. Step 5: Solve for x
    x = 88,640,203.03/10,119.85
  6. Step 6: Final answer
    x = 8,759.04

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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.