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Finding the Fourth Proportional to 6,863.69, 9,465.78 and 5,351.63

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Solution

The fourth proportional to 6,863.69, 9,465.78 and 5,351.63 is: 7,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.69 : 9,465.78 = 5,351.63 : x
  2. Step 2: Convert to fraction form
    6,863.69/9,465.78 = 5,351.63/x
  3. Step 3: Cross multiply
    6,863.69x = 9,465.78 × 5,351.63
  4. Step 4: Simplify right side
    6,863.69x = 50,657,304.89
  5. Step 5: Solve for x
    x = 50,657,304.89/6,863.69
  6. Step 6: Final answer
    x = 7,380.47

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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.