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Finding the Fourth Proportional to 10,357.28, 14,193.44 and 9,360.80

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Solution

The fourth proportional to 10,357.28, 14,193.44 and 9,360.80 is: 12,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.28 : 14,193.44 = 9,360.80 : x
  2. Step 2: Convert to fraction form
    10,357.28/14,193.44 = 9,360.80/x
  3. Step 3: Cross multiply
    10,357.28x = 14,193.44 × 9,360.80
  4. Step 4: Simplify right side
    10,357.28x = 132,861,905.59
  5. Step 5: Solve for x
    x = 132,861,905.59/10,357.28
  6. Step 6: Final answer
    x = 12,827.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.