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Finding the Fourth Proportional to 9,362.85, 14,048.87 and 3,820.02

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Solution

The fourth proportional to 9,362.85, 14,048.87 and 3,820.02 is: 5,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.85 : 14,048.87 = 3,820.02 : x
  2. Step 2: Convert to fraction form
    9,362.85/14,048.87 = 3,820.02/x
  3. Step 3: Cross multiply
    9,362.85x = 14,048.87 × 3,820.02
  4. Step 4: Simplify right side
    9,362.85x = 53,666,945.28
  5. Step 5: Solve for x
    x = 53,666,945.28/9,362.85
  6. Step 6: Final answer
    x = 5,731.90

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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.