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Finding the Fourth Proportional to 9,682.16, 14,522.90 and 2,756.64

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Solution

The fourth proportional to 9,682.16, 14,522.90 and 2,756.64 is: 4,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.16 : 14,522.90 = 2,756.64 : x
  2. Step 2: Convert to fraction form
    9,682.16/14,522.90 = 2,756.64/x
  3. Step 3: Cross multiply
    9,682.16x = 14,522.90 × 2,756.64
  4. Step 4: Simplify right side
    9,682.16x = 40,034,407.06
  5. Step 5: Solve for x
    x = 40,034,407.06/9,682.16
  6. Step 6: Final answer
    x = 4,134.86

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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.