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Finding the Fourth Proportional to 9,275.69, 13,910.16 and 2,699.84

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Solution

The fourth proportional to 9,275.69, 13,910.16 and 2,699.84 is: 4,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.69 : 13,910.16 = 2,699.84 : x
  2. Step 2: Convert to fraction form
    9,275.69/13,910.16 = 2,699.84/x
  3. Step 3: Cross multiply
    9,275.69x = 13,910.16 × 2,699.84
  4. Step 4: Simplify right side
    9,275.69x = 37,555,206.37
  5. Step 5: Solve for x
    x = 37,555,206.37/9,275.69
  6. Step 6: Final answer
    x = 4,048.78

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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.