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Finding the Fourth Proportional to 9,274.33, 13,920.61 and 6,802.11

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Solution

The fourth proportional to 9,274.33, 13,920.61 and 6,802.11 is: 10,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.33 : 13,920.61 = 6,802.11 : x
  2. Step 2: Convert to fraction form
    9,274.33/13,920.61 = 6,802.11/x
  3. Step 3: Cross multiply
    9,274.33x = 13,920.61 × 6,802.11
  4. Step 4: Simplify right side
    9,274.33x = 94,689,520.49
  5. Step 5: Solve for x
    x = 94,689,520.49/9,274.33
  6. Step 6: Final answer
    x = 10,209.85

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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.