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Finding the Fourth Proportional to 9,673.39, 14,512.38 and 6,893.20

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Solution

The fourth proportional to 9,673.39, 14,512.38 and 6,893.20 is: 10,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.39 : 14,512.38 = 6,893.20 : x
  2. Step 2: Convert to fraction form
    9,673.39/14,512.38 = 6,893.20/x
  3. Step 3: Cross multiply
    9,673.39x = 14,512.38 × 6,893.20
  4. Step 4: Simplify right side
    9,673.39x = 100,036,737.82
  5. Step 5: Solve for x
    x = 100,036,737.82/9,673.39
  6. Step 6: Final answer
    x = 10,341.44

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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.