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Finding the Fourth Proportional to 9,348.96, 14,029.32 and 3,802.44

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Solution

The fourth proportional to 9,348.96, 14,029.32 and 3,802.44 is: 5,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.96 : 14,029.32 = 3,802.44 : x
  2. Step 2: Convert to fraction form
    9,348.96/14,029.32 = 3,802.44/x
  3. Step 3: Cross multiply
    9,348.96x = 14,029.32 × 3,802.44
  4. Step 4: Simplify right side
    9,348.96x = 53,345,647.54
  5. Step 5: Solve for x
    x = 53,345,647.54/9,348.96
  6. Step 6: Final answer
    x = 5,706.05

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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.