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Finding the Fourth Proportional to 9,471.74, 14,199.51 and 3,632.54

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Solution

The fourth proportional to 9,471.74, 14,199.51 and 3,632.54 is: 5,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.74 : 14,199.51 = 3,632.54 : x
  2. Step 2: Convert to fraction form
    9,471.74/14,199.51 = 3,632.54/x
  3. Step 3: Cross multiply
    9,471.74x = 14,199.51 × 3,632.54
  4. Step 4: Simplify right side
    9,471.74x = 51,580,288.06
  5. Step 5: Solve for x
    x = 51,580,288.06/9,471.74
  6. Step 6: Final answer
    x = 5,445.70

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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.