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Finding the Fourth Proportional to 9,274.60, 13,928.56 and 8,532.84

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Solution

The fourth proportional to 9,274.60, 13,928.56 and 8,532.84 is: 12,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.60 : 13,928.56 = 8,532.84 : x
  2. Step 2: Convert to fraction form
    9,274.60/13,928.56 = 8,532.84/x
  3. Step 3: Cross multiply
    9,274.60x = 13,928.56 × 8,532.84
  4. Step 4: Simplify right side
    9,274.60x = 118,850,204.81
  5. Step 5: Solve for x
    x = 118,850,204.81/9,274.60
  6. Step 6: Final answer
    x = 12,814.59

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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.