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Finding the Fourth Proportional to 9,940.60, 13,718.30 and 6,165.63

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Solution

The fourth proportional to 9,940.60, 13,718.30 and 6,165.63 is: 8,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.60 : 13,718.30 = 6,165.63 : x
  2. Step 2: Convert to fraction form
    9,940.60/13,718.30 = 6,165.63/x
  3. Step 3: Cross multiply
    9,940.60x = 13,718.30 × 6,165.63
  4. Step 4: Simplify right side
    9,940.60x = 84,581,976.50
  5. Step 5: Solve for x
    x = 84,581,976.50/9,940.60
  6. Step 6: Final answer
    x = 8,508.74

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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.