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Finding the Fourth Proportional to 9,351.04, 14,014.43 and 3,797.88

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Solution

The fourth proportional to 9,351.04, 14,014.43 and 3,797.88 is: 5,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.04 : 14,014.43 = 3,797.88 : x
  2. Step 2: Convert to fraction form
    9,351.04/14,014.43 = 3,797.88/x
  3. Step 3: Cross multiply
    9,351.04x = 14,014.43 × 3,797.88
  4. Step 4: Simplify right side
    9,351.04x = 53,225,053.34
  5. Step 5: Solve for x
    x = 53,225,053.34/9,351.04
  6. Step 6: Final answer
    x = 5,691.89

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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.