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Finding the Fourth Proportional to 9,685.97, 14,524.16 and 3,445.05

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Solution

The fourth proportional to 9,685.97, 14,524.16 and 3,445.05 is: 5,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.97 : 14,524.16 = 3,445.05 : x
  2. Step 2: Convert to fraction form
    9,685.97/14,524.16 = 3,445.05/x
  3. Step 3: Cross multiply
    9,685.97x = 14,524.16 × 3,445.05
  4. Step 4: Simplify right side
    9,685.97x = 50,036,457.41
  5. Step 5: Solve for x
    x = 50,036,457.41/9,685.97
  6. Step 6: Final answer
    x = 5,165.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.