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Finding the Fourth Proportional to 9,653.70, 14,475.91 and 4,104.04

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Solution

The fourth proportional to 9,653.70, 14,475.91 and 4,104.04 is: 6,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.70 : 14,475.91 = 4,104.04 : x
  2. Step 2: Convert to fraction form
    9,653.70/14,475.91 = 4,104.04/x
  3. Step 3: Cross multiply
    9,653.70x = 14,475.91 × 4,104.04
  4. Step 4: Simplify right side
    9,653.70x = 59,409,713.68
  5. Step 5: Solve for x
    x = 59,409,713.68/9,653.70
  6. Step 6: Final answer
    x = 6,154.09

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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.