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Finding the Fourth Proportional to 9,674.40, 14,544.41 and 7,724.94

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Solution

The fourth proportional to 9,674.40, 14,544.41 and 7,724.94 is: 11,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.40 : 14,544.41 = 7,724.94 : x
  2. Step 2: Convert to fraction form
    9,674.40/14,544.41 = 7,724.94/x
  3. Step 3: Cross multiply
    9,674.40x = 14,544.41 × 7,724.94
  4. Step 4: Simplify right side
    9,674.40x = 112,354,655.96
  5. Step 5: Solve for x
    x = 112,354,655.96/9,674.40
  6. Step 6: Final answer
    x = 11,613.60

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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.