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Finding the Fourth Proportional to 6,705.80, 9,246.11 and 5,442.87

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Solution

The fourth proportional to 6,705.80, 9,246.11 and 5,442.87 is: 7,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.80 : 9,246.11 = 5,442.87 : x
  2. Step 2: Convert to fraction form
    6,705.80/9,246.11 = 5,442.87/x
  3. Step 3: Cross multiply
    6,705.80x = 9,246.11 × 5,442.87
  4. Step 4: Simplify right side
    6,705.80x = 50,325,374.74
  5. Step 5: Solve for x
    x = 50,325,374.74/6,705.80
  6. Step 6: Final answer
    x = 7,504.75

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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.