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Finding the Fourth Proportional to 9,470.56, 14,206.56 and 2,544.96

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Solution

The fourth proportional to 9,470.56, 14,206.56 and 2,544.96 is: 3,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.56 : 14,206.56 = 2,544.96 : x
  2. Step 2: Convert to fraction form
    9,470.56/14,206.56 = 2,544.96/x
  3. Step 3: Cross multiply
    9,470.56x = 14,206.56 × 2,544.96
  4. Step 4: Simplify right side
    9,470.56x = 36,155,126.94
  5. Step 5: Solve for x
    x = 36,155,126.94/9,470.56
  6. Step 6: Final answer
    x = 3,817.63

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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.