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Finding the Fourth Proportional to 9,427.67, 14,033.72 and 9,287.54

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Solution

The fourth proportional to 9,427.67, 14,033.72 and 9,287.54 is: 13,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.67 : 14,033.72 = 9,287.54 : x
  2. Step 2: Convert to fraction form
    9,427.67/14,033.72 = 9,287.54/x
  3. Step 3: Cross multiply
    9,427.67x = 14,033.72 × 9,287.54
  4. Step 4: Simplify right side
    9,427.67x = 130,338,688.90
  5. Step 5: Solve for x
    x = 130,338,688.90/9,427.67
  6. Step 6: Final answer
    x = 13,825.13

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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.