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Finding the Fourth Proportional to 6,942.90, 10,464.33 and 5,980.62

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Solution

The fourth proportional to 6,942.90, 10,464.33 and 5,980.62 is: 9,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.90 : 10,464.33 = 5,980.62 : x
  2. Step 2: Convert to fraction form
    6,942.90/10,464.33 = 5,980.62/x
  3. Step 3: Cross multiply
    6,942.90x = 10,464.33 × 5,980.62
  4. Step 4: Simplify right side
    6,942.90x = 62,583,181.28
  5. Step 5: Solve for x
    x = 62,583,181.28/6,942.90
  6. Step 6: Final answer
    x = 9,013.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.