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Finding the Fourth Proportional to 9,793.57, 13,492.96 and 9,327.01

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Solution

The fourth proportional to 9,793.57, 13,492.96 and 9,327.01 is: 12,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.57 : 13,492.96 = 9,327.01 : x
  2. Step 2: Convert to fraction form
    9,793.57/13,492.96 = 9,327.01/x
  3. Step 3: Cross multiply
    9,793.57x = 13,492.96 × 9,327.01
  4. Step 4: Simplify right side
    9,793.57x = 125,848,972.85
  5. Step 5: Solve for x
    x = 125,848,972.85/9,793.57
  6. Step 6: Final answer
    x = 12,850.16

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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.