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Finding the Fourth Proportional to 9,841.62, 14,768.91 and 4,648.02

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Solution

The fourth proportional to 9,841.62, 14,768.91 and 4,648.02 is: 6,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.62 : 14,768.91 = 4,648.02 : x
  2. Step 2: Convert to fraction form
    9,841.62/14,768.91 = 4,648.02/x
  3. Step 3: Cross multiply
    9,841.62x = 14,768.91 × 4,648.02
  4. Step 4: Simplify right side
    9,841.62x = 68,646,189.06
  5. Step 5: Solve for x
    x = 68,646,189.06/9,841.62
  6. Step 6: Final answer
    x = 6,975.09

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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.