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Finding the Fourth Proportional to 6,804.47, 9,368.69 and 6,181.62

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Solution

The fourth proportional to 6,804.47, 9,368.69 and 6,181.62 is: 8,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.47 : 9,368.69 = 6,181.62 : x
  2. Step 2: Convert to fraction form
    6,804.47/9,368.69 = 6,181.62/x
  3. Step 3: Cross multiply
    6,804.47x = 9,368.69 × 6,181.62
  4. Step 4: Simplify right side
    6,804.47x = 57,913,650.57
  5. Step 5: Solve for x
    x = 57,913,650.57/6,804.47
  6. Step 6: Final answer
    x = 8,511.12

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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.