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Finding the Fourth Proportional to 9,685.22, 14,522.79 and 3,444.32

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Solution

The fourth proportional to 9,685.22, 14,522.79 and 3,444.32 is: 5,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.22 : 14,522.79 = 3,444.32 : x
  2. Step 2: Convert to fraction form
    9,685.22/14,522.79 = 3,444.32/x
  3. Step 3: Cross multiply
    9,685.22x = 14,522.79 × 3,444.32
  4. Step 4: Simplify right side
    9,685.22x = 50,021,170.75
  5. Step 5: Solve for x
    x = 50,021,170.75/9,685.22
  6. Step 6: Final answer
    x = 5,164.69

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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.