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Finding the Fourth Proportional to 7,344.32, 10,963.65 and 6,293

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Solution

The fourth proportional to 7,344.32, 10,963.65 and 6,293 is: 9,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.32 : 10,963.65 = 6,293 : x
  2. Step 2: Convert to fraction form
    7,344.32/10,963.65 = 6,293/x
  3. Step 3: Cross multiply
    7,344.32x = 10,963.65 × 6,293
  4. Step 4: Simplify right side
    7,344.32x = 68,994,249.45
  5. Step 5: Solve for x
    x = 68,994,249.45/7,344.32
  6. Step 6: Final answer
    x = 9,394.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.