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Finding the Fourth Proportional to 9,470.62, 14,204.26 and 2,543.50

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Solution

The fourth proportional to 9,470.62, 14,204.26 and 2,543.50 is: 3,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.62 : 14,204.26 = 2,543.50 : x
  2. Step 2: Convert to fraction form
    9,470.62/14,204.26 = 2,543.50/x
  3. Step 3: Cross multiply
    9,470.62x = 14,204.26 × 2,543.50
  4. Step 4: Simplify right side
    9,470.62x = 36,128,535.31
  5. Step 5: Solve for x
    x = 36,128,535.31/9,470.62
  6. Step 6: Final answer
    x = 3,814.80

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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.