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Finding the Fourth Proportional to 9,927.63, 13,698.59 and 6,395.63

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Solution

The fourth proportional to 9,927.63, 13,698.59 and 6,395.63 is: 8,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.63 : 13,698.59 = 6,395.63 : x
  2. Step 2: Convert to fraction form
    9,927.63/13,698.59 = 6,395.63/x
  3. Step 3: Cross multiply
    9,927.63x = 13,698.59 × 6,395.63
  4. Step 4: Simplify right side
    9,927.63x = 87,611,012.69
  5. Step 5: Solve for x
    x = 87,611,012.69/9,927.63
  6. Step 6: Final answer
    x = 8,824.97

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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.