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Finding the Fourth Proportional to 6,095.85, 8,412.15 and 3,407.09

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Solution

The fourth proportional to 6,095.85, 8,412.15 and 3,407.09 is: 4,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.85 : 8,412.15 = 3,407.09 : x
  2. Step 2: Convert to fraction form
    6,095.85/8,412.15 = 3,407.09/x
  3. Step 3: Cross multiply
    6,095.85x = 8,412.15 × 3,407.09
  4. Step 4: Simplify right side
    6,095.85x = 28,660,952.14
  5. Step 5: Solve for x
    x = 28,660,952.14/6,095.85
  6. Step 6: Final answer
    x = 4,701.72

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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.