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Finding the Fourth Proportional to 9,840.24, 14,758.03 and 2,820.15

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Solution

The fourth proportional to 9,840.24, 14,758.03 and 2,820.15 is: 4,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.24 : 14,758.03 = 2,820.15 : x
  2. Step 2: Convert to fraction form
    9,840.24/14,758.03 = 2,820.15/x
  3. Step 3: Cross multiply
    9,840.24x = 14,758.03 × 2,820.15
  4. Step 4: Simplify right side
    9,840.24x = 41,619,858.30
  5. Step 5: Solve for x
    x = 41,619,858.30/9,840.24
  6. Step 6: Final answer
    x = 4,229.56

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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.