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Finding the Fourth Proportional to 9,194.88, 13,780 and 4,507.68

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Solution

The fourth proportional to 9,194.88, 13,780 and 4,507.68 is: 6,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.88 : 13,780 = 4,507.68 : x
  2. Step 2: Convert to fraction form
    9,194.88/13,780 = 4,507.68/x
  3. Step 3: Cross multiply
    9,194.88x = 13,780 × 4,507.68
  4. Step 4: Simplify right side
    9,194.88x = 62,115,830.40
  5. Step 5: Solve for x
    x = 62,115,830.40/9,194.88
  6. Step 6: Final answer
    x = 6,755.48

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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.