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Finding the Fourth Proportional to 9,650.32, 14,475.20 and 3,076.90

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Solution

The fourth proportional to 9,650.32, 14,475.20 and 3,076.90 is: 4,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.32 : 14,475.20 = 3,076.90 : x
  2. Step 2: Convert to fraction form
    9,650.32/14,475.20 = 3,076.90/x
  3. Step 3: Cross multiply
    9,650.32x = 14,475.20 × 3,076.90
  4. Step 4: Simplify right side
    9,650.32x = 44,538,742.88
  5. Step 5: Solve for x
    x = 44,538,742.88/9,650.32
  6. Step 6: Final answer
    x = 4,615.26

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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.