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Finding the Fourth Proportional to 9,766.12, 14,652.22 and 2,840.64

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Solution

The fourth proportional to 9,766.12, 14,652.22 and 2,840.64 is: 4,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.12 : 14,652.22 = 2,840.64 : x
  2. Step 2: Convert to fraction form
    9,766.12/14,652.22 = 2,840.64/x
  3. Step 3: Cross multiply
    9,766.12x = 14,652.22 × 2,840.64
  4. Step 4: Simplify right side
    9,766.12x = 41,621,682.22
  5. Step 5: Solve for x
    x = 41,621,682.22/9,766.12
  6. Step 6: Final answer
    x = 4,261.84

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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.