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Finding the Fourth Proportional to 9,693.44, 14,542.40 and 3,029.56

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Solution

The fourth proportional to 9,693.44, 14,542.40 and 3,029.56 is: 4,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.44 : 14,542.40 = 3,029.56 : x
  2. Step 2: Convert to fraction form
    9,693.44/14,542.40 = 3,029.56/x
  3. Step 3: Cross multiply
    9,693.44x = 14,542.40 × 3,029.56
  4. Step 4: Simplify right side
    9,693.44x = 44,057,073.34
  5. Step 5: Solve for x
    x = 44,057,073.34/9,693.44
  6. Step 6: Final answer
    x = 4,545.04

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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.