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Finding the Fourth Proportional to 9,774.78, 14,661.22 and 2,754.69

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Solution

The fourth proportional to 9,774.78, 14,661.22 and 2,754.69 is: 4,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.78 : 14,661.22 = 2,754.69 : x
  2. Step 2: Convert to fraction form
    9,774.78/14,661.22 = 2,754.69/x
  3. Step 3: Cross multiply
    9,774.78x = 14,661.22 × 2,754.69
  4. Step 4: Simplify right side
    9,774.78x = 40,387,116.12
  5. Step 5: Solve for x
    x = 40,387,116.12/9,774.78
  6. Step 6: Final answer
    x = 4,131.77

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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.