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Finding the Fourth Proportional to 9,550.40, 14,329.20 and 4,624.40

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Solution

The fourth proportional to 9,550.40, 14,329.20 and 4,624.40 is: 6,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.40 : 14,329.20 = 4,624.40 : x
  2. Step 2: Convert to fraction form
    9,550.40/14,329.20 = 4,624.40/x
  3. Step 3: Cross multiply
    9,550.40x = 14,329.20 × 4,624.40
  4. Step 4: Simplify right side
    9,550.40x = 66,263,952.48
  5. Step 5: Solve for x
    x = 66,263,952.48/9,550.40
  6. Step 6: Final answer
    x = 6,938.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.