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Finding the Fourth Proportional to 6,802.07, 9,386.22 and 3,817.32

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Solution

The fourth proportional to 6,802.07, 9,386.22 and 3,817.32 is: 5,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.07 : 9,386.22 = 3,817.32 : x
  2. Step 2: Convert to fraction form
    6,802.07/9,386.22 = 3,817.32/x
  3. Step 3: Cross multiply
    6,802.07x = 9,386.22 × 3,817.32
  4. Step 4: Simplify right side
    6,802.07x = 35,830,226.21
  5. Step 5: Solve for x
    x = 35,830,226.21/6,802.07
  6. Step 6: Final answer
    x = 5,267.55

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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.