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Finding the Fourth Proportional to 6,386.41, 8,814.99 and 4,148.17

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Solution

The fourth proportional to 6,386.41, 8,814.99 and 4,148.17 is: 5,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.41 : 8,814.99 = 4,148.17 : x
  2. Step 2: Convert to fraction form
    6,386.41/8,814.99 = 4,148.17/x
  3. Step 3: Cross multiply
    6,386.41x = 8,814.99 × 4,148.17
  4. Step 4: Simplify right side
    6,386.41x = 36,566,077.07
  5. Step 5: Solve for x
    x = 36,566,077.07/6,386.41
  6. Step 6: Final answer
    x = 5,725.61

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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.