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Finding the Fourth Proportional to 9,447.57, 14,177.70 and 6,520.64

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Solution

The fourth proportional to 9,447.57, 14,177.70 and 6,520.64 is: 9,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.57 : 14,177.70 = 6,520.64 : x
  2. Step 2: Convert to fraction form
    9,447.57/14,177.70 = 6,520.64/x
  3. Step 3: Cross multiply
    9,447.57x = 14,177.70 × 6,520.64
  4. Step 4: Simplify right side
    9,447.57x = 92,447,606.84
  5. Step 5: Solve for x
    x = 92,447,606.84/9,447.57
  6. Step 6: Final answer
    x = 9,785.33

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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.