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Finding the Fourth Proportional to 9,652, 14,478.16 and 3,808.56

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Solution

The fourth proportional to 9,652, 14,478.16 and 3,808.56 is: 5,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652 : 14,478.16 = 3,808.56 : x
  2. Step 2: Convert to fraction form
    9,652/14,478.16 = 3,808.56/x
  3. Step 3: Cross multiply
    9,652x = 14,478.16 × 3,808.56
  4. Step 4: Simplify right side
    9,652x = 55,140,941.05
  5. Step 5: Solve for x
    x = 55,140,941.05/9,652
  6. Step 6: Final answer
    x = 5,712.90

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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.