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Finding the Fourth Proportional to 9,976.01, 14,964.08 and 4,766.09

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Solution

The fourth proportional to 9,976.01, 14,964.08 and 4,766.09 is: 7,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.01 : 14,964.08 = 4,766.09 : x
  2. Step 2: Convert to fraction form
    9,976.01/14,964.08 = 4,766.09/x
  3. Step 3: Cross multiply
    9,976.01x = 14,964.08 × 4,766.09
  4. Step 4: Simplify right side
    9,976.01x = 71,320,053.40
  5. Step 5: Solve for x
    x = 71,320,053.40/9,976.01
  6. Step 6: Final answer
    x = 7,149.16

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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.