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Finding the Fourth Proportional to 9,523.44, 14,287.43 and 3,973.70

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Solution

The fourth proportional to 9,523.44, 14,287.43 and 3,973.70 is: 5,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.44 : 14,287.43 = 3,973.70 : x
  2. Step 2: Convert to fraction form
    9,523.44/14,287.43 = 3,973.70/x
  3. Step 3: Cross multiply
    9,523.44x = 14,287.43 × 3,973.70
  4. Step 4: Simplify right side
    9,523.44x = 56,773,869.29
  5. Step 5: Solve for x
    x = 56,773,869.29/9,523.44
  6. Step 6: Final answer
    x = 5,961.49

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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.