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Finding the Fourth Proportional to 9,774.51, 14,661.77 and 2,754.52

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Solution

The fourth proportional to 9,774.51, 14,661.77 and 2,754.52 is: 4,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.51 : 14,661.77 = 2,754.52 : x
  2. Step 2: Convert to fraction form
    9,774.51/14,661.77 = 2,754.52/x
  3. Step 3: Cross multiply
    9,774.51x = 14,661.77 × 2,754.52
  4. Step 4: Simplify right side
    9,774.51x = 40,386,138.70
  5. Step 5: Solve for x
    x = 40,386,138.70/9,774.51
  6. Step 6: Final answer
    x = 4,131.78

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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.