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Finding the Fourth Proportional to 10,194.60, 14,062.62 and 6,416.28

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Solution

The fourth proportional to 10,194.60, 14,062.62 and 6,416.28 is: 8,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.60 : 14,062.62 = 6,416.28 : x
  2. Step 2: Convert to fraction form
    10,194.60/14,062.62 = 6,416.28/x
  3. Step 3: Cross multiply
    10,194.60x = 14,062.62 × 6,416.28
  4. Step 4: Simplify right side
    10,194.60x = 90,229,707.45
  5. Step 5: Solve for x
    x = 90,229,707.45/10,194.60
  6. Step 6: Final answer
    x = 8,850.74

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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.