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Finding the Fourth Proportional to 9,650.55, 14,474.61 and 3,077.40

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Solution

The fourth proportional to 9,650.55, 14,474.61 and 3,077.40 is: 4,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.55 : 14,474.61 = 3,077.40 : x
  2. Step 2: Convert to fraction form
    9,650.55/14,474.61 = 3,077.40/x
  3. Step 3: Cross multiply
    9,650.55x = 14,474.61 × 3,077.40
  4. Step 4: Simplify right side
    9,650.55x = 44,544,164.81
  5. Step 5: Solve for x
    x = 44,544,164.81/9,650.55
  6. Step 6: Final answer
    x = 4,615.71

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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.