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Finding the Fourth Proportional to 9,363.12, 14,047.32 and 3,820.44

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Solution

The fourth proportional to 9,363.12, 14,047.32 and 3,820.44 is: 5,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.12 : 14,047.32 = 3,820.44 : x
  2. Step 2: Convert to fraction form
    9,363.12/14,047.32 = 3,820.44/x
  3. Step 3: Cross multiply
    9,363.12x = 14,047.32 × 3,820.44
  4. Step 4: Simplify right side
    9,363.12x = 53,666,943.22
  5. Step 5: Solve for x
    x = 53,666,943.22/9,363.12
  6. Step 6: Final answer
    x = 5,731.74

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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.