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Finding the Fourth Proportional to 9,362.86, 14,032.10 and 3,809.72

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Solution

The fourth proportional to 9,362.86, 14,032.10 and 3,809.72 is: 5,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.86 : 14,032.10 = 3,809.72 : x
  2. Step 2: Convert to fraction form
    9,362.86/14,032.10 = 3,809.72/x
  3. Step 3: Cross multiply
    9,362.86x = 14,032.10 × 3,809.72
  4. Step 4: Simplify right side
    9,362.86x = 53,458,372.01
  5. Step 5: Solve for x
    x = 53,458,372.01/9,362.86
  6. Step 6: Final answer
    x = 5,709.62

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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.