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Finding the Fourth Proportional to 9,230.64, 12,744.41 and 7,102.41

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Solution

The fourth proportional to 9,230.64, 12,744.41 and 7,102.41 is: 9,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.64 : 12,744.41 = 7,102.41 : x
  2. Step 2: Convert to fraction form
    9,230.64/12,744.41 = 7,102.41/x
  3. Step 3: Cross multiply
    9,230.64x = 12,744.41 × 7,102.41
  4. Step 4: Simplify right side
    9,230.64x = 90,516,025.03
  5. Step 5: Solve for x
    x = 90,516,025.03/9,230.64
  6. Step 6: Final answer
    x = 9,806.04

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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.