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Finding the Fourth Proportional to 9,676.80, 14,495.76 and 4,743.36

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Solution

The fourth proportional to 9,676.80, 14,495.76 and 4,743.36 is: 7,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.80 : 14,495.76 = 4,743.36 : x
  2. Step 2: Convert to fraction form
    9,676.80/14,495.76 = 4,743.36/x
  3. Step 3: Cross multiply
    9,676.80x = 14,495.76 × 4,743.36
  4. Step 4: Simplify right side
    9,676.80x = 68,758,608.15
  5. Step 5: Solve for x
    x = 68,758,608.15/9,676.80
  6. Step 6: Final answer
    x = 7,105.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.