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Finding the Fourth Proportional to 9,992.65, 14,976.41 and 5,301.07

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Solution

The fourth proportional to 9,992.65, 14,976.41 and 5,301.07 is: 7,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.65 : 14,976.41 = 5,301.07 : x
  2. Step 2: Convert to fraction form
    9,992.65/14,976.41 = 5,301.07/x
  3. Step 3: Cross multiply
    9,992.65x = 14,976.41 × 5,301.07
  4. Step 4: Simplify right side
    9,992.65x = 79,390,997.76
  5. Step 5: Solve for x
    x = 79,390,997.76/9,992.65
  6. Step 6: Final answer
    x = 7,944.94

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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.