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Finding the Fourth Proportional to 6,847.70, 9,433.44 and 6,514.18

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Solution

The fourth proportional to 6,847.70, 9,433.44 and 6,514.18 is: 8,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.70 : 9,433.44 = 6,514.18 : x
  2. Step 2: Convert to fraction form
    6,847.70/9,433.44 = 6,514.18/x
  3. Step 3: Cross multiply
    6,847.70x = 9,433.44 × 6,514.18
  4. Step 4: Simplify right side
    6,847.70x = 61,451,126.18
  5. Step 5: Solve for x
    x = 61,451,126.18/6,847.70
  6. Step 6: Final answer
    x = 8,973.98

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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.