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Finding the Fourth Proportional to 9,427.54, 14,033.54 and 9,287.41

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Solution

The fourth proportional to 9,427.54, 14,033.54 and 9,287.41 is: 13,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.54 : 14,033.54 = 9,287.41 : x
  2. Step 2: Convert to fraction form
    9,427.54/14,033.54 = 9,287.41/x
  3. Step 3: Cross multiply
    9,427.54x = 14,033.54 × 9,287.41
  4. Step 4: Simplify right side
    9,427.54x = 130,335,239.73
  5. Step 5: Solve for x
    x = 130,335,239.73/9,427.54
  6. Step 6: Final answer
    x = 13,824.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.