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Finding the Fourth Proportional to 9,354.80, 14,032.20 and 3,806.30

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Solution

The fourth proportional to 9,354.80, 14,032.20 and 3,806.30 is: 5,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.80 : 14,032.20 = 3,806.30 : x
  2. Step 2: Convert to fraction form
    9,354.80/14,032.20 = 3,806.30/x
  3. Step 3: Cross multiply
    9,354.80x = 14,032.20 × 3,806.30
  4. Step 4: Simplify right side
    9,354.80x = 53,410,762.86
  5. Step 5: Solve for x
    x = 53,410,762.86/9,354.80
  6. Step 6: Final answer
    x = 5,709.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.