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Finding the Fourth Proportional to 9,415.12, 14,124 and 2,840.56

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Solution

The fourth proportional to 9,415.12, 14,124 and 2,840.56 is: 4,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.12 : 14,124 = 2,840.56 : x
  2. Step 2: Convert to fraction form
    9,415.12/14,124 = 2,840.56/x
  3. Step 3: Cross multiply
    9,415.12x = 14,124 × 2,840.56
  4. Step 4: Simplify right side
    9,415.12x = 40,120,069.44
  5. Step 5: Solve for x
    x = 40,120,069.44/9,415.12
  6. Step 6: Final answer
    x = 4,261.24

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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.