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Finding the Fourth Proportional to 6,802.35, 9,384.89 and 3,817.77

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Solution

The fourth proportional to 6,802.35, 9,384.89 and 3,817.77 is: 5,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.35 : 9,384.89 = 3,817.77 : x
  2. Step 2: Convert to fraction form
    6,802.35/9,384.89 = 3,817.77/x
  3. Step 3: Cross multiply
    6,802.35x = 9,384.89 × 3,817.77
  4. Step 4: Simplify right side
    6,802.35x = 35,829,304.57
  5. Step 5: Solve for x
    x = 35,829,304.57/6,802.35
  6. Step 6: Final answer
    x = 5,267.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.