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Finding the Fourth Proportional to 9,454.96, 12,993.04 and 9,021.32

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Solution

The fourth proportional to 9,454.96, 12,993.04 and 9,021.32 is: 12,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.96 : 12,993.04 = 9,021.32 : x
  2. Step 2: Convert to fraction form
    9,454.96/12,993.04 = 9,021.32/x
  3. Step 3: Cross multiply
    9,454.96x = 12,993.04 × 9,021.32
  4. Step 4: Simplify right side
    9,454.96x = 117,214,371.61
  5. Step 5: Solve for x
    x = 117,214,371.61/9,454.96
  6. Step 6: Final answer
    x = 12,397.13

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1.5x scale

Why These Related Problems?

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