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Finding the Fourth Proportional to 9,841.01, 14,745.08 and 4,286.03

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Solution

The fourth proportional to 9,841.01, 14,745.08 and 4,286.03 is: 6,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.01 : 14,745.08 = 4,286.03 : x
  2. Step 2: Convert to fraction form
    9,841.01/14,745.08 = 4,286.03/x
  3. Step 3: Cross multiply
    9,841.01x = 14,745.08 × 4,286.03
  4. Step 4: Simplify right side
    9,841.01x = 63,197,792.22
  5. Step 5: Solve for x
    x = 63,197,792.22/9,841.01
  6. Step 6: Final answer
    x = 6,421.88

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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.