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Finding the Fourth Proportional to 9,493.74, 14,242.41 and 3,944.07

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Solution

The fourth proportional to 9,493.74, 14,242.41 and 3,944.07 is: 5,916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.74 : 14,242.41 = 3,944.07 : x
  2. Step 2: Convert to fraction form
    9,493.74/14,242.41 = 3,944.07/x
  3. Step 3: Cross multiply
    9,493.74x = 14,242.41 × 3,944.07
  4. Step 4: Simplify right side
    9,493.74x = 56,173,062.01
  5. Step 5: Solve for x
    x = 56,173,062.01/9,493.74
  6. Step 6: Final answer
    x = 5,916.85

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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.