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Finding the Fourth Proportional to 6,802.22, 9,384.72 and 3,817.64

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Solution

The fourth proportional to 6,802.22, 9,384.72 and 3,817.64 is: 5,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.22 : 9,384.72 = 3,817.64 : x
  2. Step 2: Convert to fraction form
    6,802.22/9,384.72 = 3,817.64/x
  3. Step 3: Cross multiply
    6,802.22x = 9,384.72 × 3,817.64
  4. Step 4: Simplify right side
    6,802.22x = 35,827,482.46
  5. Step 5: Solve for x
    x = 35,827,482.46/6,802.22
  6. Step 6: Final answer
    x = 5,267.03

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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.