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Finding the Fourth Proportional to 10,116.95, 13,969.98 and 6,346.44

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Solution

The fourth proportional to 10,116.95, 13,969.98 and 6,346.44 is: 8,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.95 : 13,969.98 = 6,346.44 : x
  2. Step 2: Convert to fraction form
    10,116.95/13,969.98 = 6,346.44/x
  3. Step 3: Cross multiply
    10,116.95x = 13,969.98 × 6,346.44
  4. Step 4: Simplify right side
    10,116.95x = 88,659,639.87
  5. Step 5: Solve for x
    x = 88,659,639.87/10,116.95
  6. Step 6: Final answer
    x = 8,763.48

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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.