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Finding the Fourth Proportional to 9,606.32, 14,409.48 and 3,033.07

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Solution

The fourth proportional to 9,606.32, 14,409.48 and 3,033.07 is: 4,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.32 : 14,409.48 = 3,033.07 : x
  2. Step 2: Convert to fraction form
    9,606.32/14,409.48 = 3,033.07/x
  3. Step 3: Cross multiply
    9,606.32x = 14,409.48 × 3,033.07
  4. Step 4: Simplify right side
    9,606.32x = 43,704,961.50
  5. Step 5: Solve for x
    x = 43,704,961.50/9,606.32
  6. Step 6: Final answer
    x = 4,549.61

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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.