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Finding the Fourth Proportional to 10,116.97, 13,970.00 and 6,346.42

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Solution

The fourth proportional to 10,116.97, 13,970.00 and 6,346.42 is: 8,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.97 : 13,970.00 = 6,346.42 : x
  2. Step 2: Convert to fraction form
    10,116.97/13,970.00 = 6,346.42/x
  3. Step 3: Cross multiply
    10,116.97x = 13,970.00 × 6,346.42
  4. Step 4: Simplify right side
    10,116.97x = 88,659,468.34
  5. Step 5: Solve for x
    x = 88,659,468.34/10,116.97
  6. Step 6: Final answer
    x = 8,763.44

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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.