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Finding the Fourth Proportional to 9,409.32, 14,105.34 and 3,249

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Solution

The fourth proportional to 9,409.32, 14,105.34 and 3,249 is: 4,870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.32 : 14,105.34 = 3,249 : x
  2. Step 2: Convert to fraction form
    9,409.32/14,105.34 = 3,249/x
  3. Step 3: Cross multiply
    9,409.32x = 14,105.34 × 3,249
  4. Step 4: Simplify right side
    9,409.32x = 45,828,249.66
  5. Step 5: Solve for x
    x = 45,828,249.66/9,409.32
  6. Step 6: Final answer
    x = 4,870.52

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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.