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Finding the Fourth Proportional to 9,364.32, 14,037.60 and 3,204

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Solution

The fourth proportional to 9,364.32, 14,037.60 and 3,204 is: 4,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.32 : 14,037.60 = 3,204 : x
  2. Step 2: Convert to fraction form
    9,364.32/14,037.60 = 3,204/x
  3. Step 3: Cross multiply
    9,364.32x = 14,037.60 × 3,204
  4. Step 4: Simplify right side
    9,364.32x = 44,976,470.40
  5. Step 5: Solve for x
    x = 44,976,470.40/9,364.32
  6. Step 6: Final answer
    x = 4,802.96

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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.