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Finding the Fourth Proportional to 6,095.84, 8,414.88 and 4,395.68

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Solution

The fourth proportional to 6,095.84, 8,414.88 and 4,395.68 is: 6,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.84 : 8,414.88 = 4,395.68 : x
  2. Step 2: Convert to fraction form
    6,095.84/8,414.88 = 4,395.68/x
  3. Step 3: Cross multiply
    6,095.84x = 8,414.88 × 4,395.68
  4. Step 4: Simplify right side
    6,095.84x = 36,989,119.72
  5. Step 5: Solve for x
    x = 36,989,119.72/6,095.84
  6. Step 6: Final answer
    x = 6,067.93

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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.