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Finding the Fourth Proportional to 9,685.46, 14,523.41 and 3,444.55

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Solution

The fourth proportional to 9,685.46, 14,523.41 and 3,444.55 is: 5,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.46 : 14,523.41 = 3,444.55 : x
  2. Step 2: Convert to fraction form
    9,685.46/14,523.41 = 3,444.55/x
  3. Step 3: Cross multiply
    9,685.46x = 14,523.41 × 3,444.55
  4. Step 4: Simplify right side
    9,685.46x = 50,026,584.22
  5. Step 5: Solve for x
    x = 50,026,584.22/9,685.46
  6. Step 6: Final answer
    x = 5,165.12

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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.