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Finding the Fourth Proportional to 9,402.44, 12,961.50 and 7,409.04

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Solution

The fourth proportional to 9,402.44, 12,961.50 and 7,409.04 is: 10,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.44 : 12,961.50 = 7,409.04 : x
  2. Step 2: Convert to fraction form
    9,402.44/12,961.50 = 7,409.04/x
  3. Step 3: Cross multiply
    9,402.44x = 12,961.50 × 7,409.04
  4. Step 4: Simplify right side
    9,402.44x = 96,032,271.96
  5. Step 5: Solve for x
    x = 96,032,271.96/9,402.44
  6. Step 6: Final answer
    x = 10,213.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.