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Finding the Fourth Proportional to 9,685.67, 14,523.73 and 3,444.82

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Solution

The fourth proportional to 9,685.67, 14,523.73 and 3,444.82 is: 5,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.67 : 14,523.73 = 3,444.82 : x
  2. Step 2: Convert to fraction form
    9,685.67/14,523.73 = 3,444.82/x
  3. Step 3: Cross multiply
    9,685.67x = 14,523.73 × 3,444.82
  4. Step 4: Simplify right side
    9,685.67x = 50,031,590.66
  5. Step 5: Solve for x
    x = 50,031,590.66/9,685.67
  6. Step 6: Final answer
    x = 5,165.53

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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.