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Finding the Fourth Proportional to 9,262.80, 13,888.06 and 5,104.80

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Solution

The fourth proportional to 9,262.80, 13,888.06 and 5,104.80 is: 7,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.80 : 13,888.06 = 5,104.80 : x
  2. Step 2: Convert to fraction form
    9,262.80/13,888.06 = 5,104.80/x
  3. Step 3: Cross multiply
    9,262.80x = 13,888.06 × 5,104.80
  4. Step 4: Simplify right side
    9,262.80x = 70,895,755.93
  5. Step 5: Solve for x
    x = 70,895,755.93/9,262.80
  6. Step 6: Final answer
    x = 7,653.81

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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.