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Finding the Fourth Proportional to 9,812.55, 14,721.27 and 3,575.97

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Solution

The fourth proportional to 9,812.55, 14,721.27 and 3,575.97 is: 5,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.55 : 14,721.27 = 3,575.97 : x
  2. Step 2: Convert to fraction form
    9,812.55/14,721.27 = 3,575.97/x
  3. Step 3: Cross multiply
    9,812.55x = 14,721.27 × 3,575.97
  4. Step 4: Simplify right side
    9,812.55x = 52,642,819.88
  5. Step 5: Solve for x
    x = 52,642,819.88/9,812.55
  6. Step 6: Final answer
    x = 5,364.85

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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.