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Finding the Fourth Proportional to 9,470.32, 14,214.24 and 4,793.64

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Solution

The fourth proportional to 9,470.32, 14,214.24 and 4,793.64 is: 7,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.32 : 14,214.24 = 4,793.64 : x
  2. Step 2: Convert to fraction form
    9,470.32/14,214.24 = 4,793.64/x
  3. Step 3: Cross multiply
    9,470.32x = 14,214.24 × 4,793.64
  4. Step 4: Simplify right side
    9,470.32x = 68,137,949.43
  5. Step 5: Solve for x
    x = 68,137,949.43/9,470.32
  6. Step 6: Final answer
    x = 7,194.89

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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.