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Finding the Fourth Proportional to 9,274.69, 13,908.66 and 2,698.84

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Solution

The fourth proportional to 9,274.69, 13,908.66 and 2,698.84 is: 4,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.69 : 13,908.66 = 2,698.84 : x
  2. Step 2: Convert to fraction form
    9,274.69/13,908.66 = 2,698.84/x
  3. Step 3: Cross multiply
    9,274.69x = 13,908.66 × 2,698.84
  4. Step 4: Simplify right side
    9,274.69x = 37,537,247.95
  5. Step 5: Solve for x
    x = 37,537,247.95/9,274.69
  6. Step 6: Final answer
    x = 4,047.28

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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.