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Finding the Fourth Proportional to 6,169.12, 8,514.42 and 4,852.84

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Solution

The fourth proportional to 6,169.12, 8,514.42 and 4,852.84 is: 6,697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.12 : 8,514.42 = 4,852.84 : x
  2. Step 2: Convert to fraction form
    6,169.12/8,514.42 = 4,852.84/x
  3. Step 3: Cross multiply
    6,169.12x = 8,514.42 × 4,852.84
  4. Step 4: Simplify right side
    6,169.12x = 41,319,117.95
  5. Step 5: Solve for x
    x = 41,319,117.95/6,169.12
  6. Step 6: Final answer
    x = 6,697.73

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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.