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Finding the Fourth Proportional to 9,863.77, 13,611.46 and 5,387.45

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Solution

The fourth proportional to 9,863.77, 13,611.46 and 5,387.45 is: 7,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.77 : 13,611.46 = 5,387.45 : x
  2. Step 2: Convert to fraction form
    9,863.77/13,611.46 = 5,387.45/x
  3. Step 3: Cross multiply
    9,863.77x = 13,611.46 × 5,387.45
  4. Step 4: Simplify right side
    9,863.77x = 73,331,060.18
  5. Step 5: Solve for x
    x = 73,331,060.18/9,863.77
  6. Step 6: Final answer
    x = 7,434.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.