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Finding the Fourth Proportional to 9,880.56, 14,801.36 and 8,033.76

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Solution

The fourth proportional to 9,880.56, 14,801.36 and 8,033.76 is: 12,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.56 : 14,801.36 = 8,033.76 : x
  2. Step 2: Convert to fraction form
    9,880.56/14,801.36 = 8,033.76/x
  3. Step 3: Cross multiply
    9,880.56x = 14,801.36 × 8,033.76
  4. Step 4: Simplify right side
    9,880.56x = 118,910,573.91
  5. Step 5: Solve for x
    x = 118,910,573.91/9,880.56
  6. Step 6: Final answer
    x = 12,034.80

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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.