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Finding the Fourth Proportional to 9,343.74, 12,893.49 and 5,151.96

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Solution

The fourth proportional to 9,343.74, 12,893.49 and 5,151.96 is: 7,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.74 : 12,893.49 = 5,151.96 : x
  2. Step 2: Convert to fraction form
    9,343.74/12,893.49 = 5,151.96/x
  3. Step 3: Cross multiply
    9,343.74x = 12,893.49 × 5,151.96
  4. Step 4: Simplify right side
    9,343.74x = 66,426,744.74
  5. Step 5: Solve for x
    x = 66,426,744.74/9,343.74
  6. Step 6: Final answer
    x = 7,109.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.